Solve the system using substitution. Check your solution.
2x - y= 65
5y = x

Answers

Answer 1

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]


Related Questions

Collect like terms/equations
1. -3x+5-6x
2. 21+4a-13
3. 21+4a-13
4. 15-10b+6b=-5
5. -20=4c+30-2c

Answers

1. -3x and -6x
2. 21 and -13
3. 21 and -13
4. -10b and 6b, 15 and -5
5. -20 and 30, 4c and -2c
1. -9x +5
2. 8 +4a (Question 2 and 3 the same)
4. -4b= -20
5. -50= 2c

Why is 2020 edge so hard and annoying here is 14 points

Answers

Answer:

ty

Step-by-step explanation:

thanks for points have a good day sir

Answer:

ik right ughh

Step-by-step explanation:

Mr Signorelli is buying a new suit for a wedding. The suit costs $250, but he found a coupon for 20% off. What is the sale price of the suit?

Answers

Answer:

$200

Step-by-step explanation:

$200

Samira buys a car the car loses 23% of its value in the first year. at the end of the first year her car is worth 6575.80 dollars how much did samira pay for her car?

Answers

Answer: Samira paid $8540 for her car.

Step-by-step explanation:

Let x = Amount paid by Samira for her car.

Given: Depreciation rate = 23%

Worth of car after one year = $ 6575.80

As per given,

x - 23 % of x = 6575.80

⇒ x - 0.23x = 6575.80

⇒ 0.77x= 6575.80

⇒ x= $8540   [Divide both sides by 0.77]

Hence, Samira paid $8540 for her car.

What two things do you NEED to write an equation in point-slope form?

Answers

Answer:

a letter or a word of any kind

Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form

Step-by-step explanation:

| For which equation is a = 8 a solution? A 15 - a = 10 B) 10 + a = 23 c) a - 18 = 26 D) a +8 = 16​

Answers

Answer:

D

Step-by-step explanation:

a + 8 = 16

collect like terms

a=16 - 8

a = 8

Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how
much of her $20 she spent at the mall? Explain how you got your answer.

Answers

Answer:

jan spent 0.25, 1/4, or 25% of her money at the mall

any 3 of those answers are correct

Step-by-step explanation:

she spent $5 out of $20.

5/20 = 1/4

1/4 = 25% or 0.25

HELP ME PLEASE

The table below shows the number of each color marker Mr. Martinez has in his
bucket. If Mr. Martinez increases the amount of markers to 153, how many markers
can he expect to be blue?

Answers

Answer:

25

Step-by-step explanation:

triangle vertices for A(-3,6)B(-5,4)C(-1,1)​

Answers

Answer:

we can't graph for u on brainly sorry.

PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST

Answers

Answer:

Hiii

Step-by-step explanation:

3. M=-3/4  B=4

6. M=-5/4  B=-2

If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age?

Answers

Answer:

a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm.

Step-by-step explanation:

so I'd say 21

what is the monomial if a square of a monomial is 1/4a^2n

Answers

Answer:

Answer:

Answer:

1/2a^n

Step-by-step explanation:

Square of the monomial is  

To get the monomial we take square root

Lets take square root for each term

because square root of 4 is 2

2/2 is 1 so, its a^n

Required monomial is  

1/2a^n

Step-by-step explanation:

Answer:

(1/2a^n)^2

Step-by-step explanation:

A circle has radius 40 cm. Which of these is closest to its area

Answers

Answer:

5026.55

Step-by-step explanation:

What additional piece of information would prove DABD ≅ DCBD?

Answers

Answer:

∠BAD ≅ ∠BCD

Step-by-step explanation:

The complete equation is attached.

Two triangles are congruent to each other if all their three sides are equal to each other and all their three angles are equal to each other.

The angle side angle (ASA) congruence theorem states that two triangles are congruent if two angles of one triangle is equal to two angles of the other triangle and also if their included side are equal.

Since AB = BC, ∠ABD = ∠CBD. For ∠ABD ≅ ∠CBD based on ASA then ∠BAD ≅ ∠BCD

HELP PLS IDK WHAT TO DO

Answers

Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)​

Answers

Answer:

First, we will use elimination to solve for y.

[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]

Now, we will use what we got for y to solve for x.

[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]

Solution:

[tex](-1, 5)[/tex]

Given point P(9,-11), what are the coordinates of P' after a 180⁰ rotation?
(9,11)
(-9,11)
(-11,-9)
(11,9)

Answers

Answer:

-9,11

Step-by-step explanation:

The negative signs get flipped so if the number was positive it would become negative and vice versa.

Answer:

(-9,11)

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

what does this equal 50+80
also, what is 50+80

Answers

Answer: 50+80=130

I wasn’t really sure of what you were really asking, apologies.

Answer:

130 is your answer!

Step-by-step explanation:

50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!

What is the y-intercept of the equation?

Answers

Answer:

Step-by-step explanation:

The above equation is of the form y=mx+c

c is the y intercept so c=2

The y intercept is 2
Because the actual equation is y=mx+b
B=2

12 large bottles of water cost nine dollars how many bottles can you buy for three dollars

Answers

Answer:

12 bottles for $9.

11 $8

9 $7

8 $6

7 $5

6 $4

5 $3

5 bottles for $3.

Which of the following best describes a geometric rotation?
A
A transformation that enlarges or reduces the size of a figure by certain scale factor
B
A transformation that slides a figure to a new location
С
A transforation that flips a figure across a line
D
A transformation that turns a figure around a point

Answers

Answer:C

A transformation that turns a figure around a point

Step-by-step explanation:

25
Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
Х
f(x)
1
0
-1
2

Answers

Answer:

well it is 1 beacuse on a numberline you would nedd the opposite of that number

Step-by-step explanation:

What is the constant of proportionality for y=4.7x?

Answers

Answer:

4.7

Step-by-step explanation:

Given equation y=4.7x

constants of proportionality = y/x

so, y/x = 4.7

therefore, answer is 4.7

GIVING BRAINLIEST

If lines BG and CF are parallel, then JOL and IOM and congruent triangles. Is this statement correct? Explain your answer.

Answers

Answer:

No this statement is not correct.

Step-by-step explanation:

The definition of congruent triangles are triangles with equal side lengths and equal angles. As we can see in the picture, one triangle is significantly larger than the other, so in conclusion, the statement is incorrect.

By basic definition of congruent triangles we can say that the statement

"triangle JOL and IOM and congruent triangles" is false

what are congruent triangles?

Triangle with same shape and same size are known as congruent triangle .Corresponding sides and angles of congruent triangles are equal .

Here in the given diagram it is clearly visible that size of triangle IOM and JOL is not same so they can't have same length of sides ,although corresponding angles are equal because of properties of parallel lines but for congruent triangles it's necessary that both corresponding sides and angle are equal .

By basic definition of congruent triangles we can say that the statement

"triangle JOL and IOM and congruent triangles" is false

To learn more about congruent triangles visit :https://brainly.com/question/2938476

PLZ HELP! NO FAKE ANSWER PLEASE!!!!!! PLEASE AND THANK YOU MARRY CHRISTMAS!

Answers

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

Hey guys happy holidays! any help is appreciated :)

Answers

B is the right answer
I believe “B” is the correct answer

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

Answers

The question is incomplete, the complete question is;

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

a. There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.

b. As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.

c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

d. The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.

Answer:

c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

Step-by-step explanation:

Though we can't see the scatter plot but it makes sense from option c that as the number of hours of studying increases, test scores increase.

That option even stated that the cluster of points increases from left to right. If the scatterplot has a cluster that increases from left to right, then it follows that the test scores actually increases positively with the number of study hours.

I need help with geometry and help learning it

Answers

Answer:

Option (2)

Step-by-step explanation:

HL theorem for congruence states that if hypotenuse and one leg of one right triangle are congruent to the corresponding sides of the of the right triangle, both the triangles will be congruent.

By this theorem,

ΔACB ≅ ΔFED

If AB ≅ DF [Hypotenuse]

AC ≅ EF [Leg]

By these properties,

AC = EF = 12

Or BC = DF = 28

Therefore, Option (2) will be the correct option.

Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?

Answers

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

[tex]24=12+2x+x+x[/tex]

[tex]24=12+4x[/tex]

[tex]24-12=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

Therefore, the price of soda is $3.

Please help me I’m working on a math test and I’m struggling with this problem: The Aon center in Chicago is one of the worlds tallest buildings. It was built in 1973. It is 1,136 feet high and has 80 stories. If each story is of equal height, how tall is each story btw this is division (:

Answers

Answer:

They are 14.2 feet high each

Step-by-step explanation:

1136/80=14.2

Answer:

14.2 feet

Step-by-step explanation:

We know that the height of the Aon Center is 1,136 feet.

This building has 80 stories whose heights are equal.

Therefore, in order to calculate the height of each story, we must divide the height of the Aon Center by the number of stories it has.

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