2y-x=8 and y-2x=-5. Solve the system of equations

Answers

Answer 1

Answer:

y = 7   x = 9

Step-by-step explanation:

2y-x=8

2(2y-x=8)

4y-2x=16

-(y-2x= -5)

3y +0x= 21

3y=21

y=7

2(7)-x=8

14-x=8

9=x


Related Questions

please help me im pretty stumped

Answers

The awnser is -11 1/2 which is c

if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day​

Answers

120/6= 20
they ride 20 miles each day

Dan brought 36 vanilla cupcakes and 49 chocolate cupcakes to his school bake sale. Then his friend brought 5 more cupcakes. How many total cupcakes did the bake sale have to sell?

Answers

Answer:

90

Step-by-step explanation:

Answer:

90 cupcakes

Step-by-step explanation:

So, to solve this question all we have to do is add the number of cupcakes that Dan brought and the number of cupcakes that his friend bought.

So the expression would look like this:

36 + 49 + 5 = 90

So, in conclusion, the bake sale had 90 cupcakes to sell

plz mark me brainliest if correct :)

Find the Error A student solved the equation and determined that the solution was –2. Choose the response that shows her error and corrects it.




Multiple choice question.

A)
There is no error, her answer is correct.


B)
The initial equation simplifies to 3x = 0, which means that x = 0.


C)
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.


D)
The equation –2 = –2 is always true, so every value of x will make the equation true. The correct solution of the equation is infinitely many solutions.

Answers

The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.

What is equation?

In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.

Here,

The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.

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Please help me with this question

Answers

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

Find the value of x.

Answers

Given:

Figure of a triangle.

To find:

The values of x.

Solution:

In the figure, we have an angle bisector.

According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using angle bisector theorem, we get

[tex]\dfrac{x}{7}=\dfrac{15}{14}[/tex]

Multiply both sides by 7.

[tex]x=\dfrac{15}{14}\times 7[/tex]

[tex]x=\dfrac{15}{2}[/tex]

[tex]x=7.5[/tex]

Therefore, the value of x is 7.5 units.

Ignoring unwritten factors of 1, what is the sum of the numerical factors in the expression below?



−4(x−2)+(x−2)7−(x+5)(x−2)+(x−2)9+(−3)(x−2)

(1 point)
The sum is
.

Answers

Answer:

Step-by-step explanation:

Move

2x-3

x2+4x+3

to the left side of the equation by subtracting it from both sides.

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

=0

Simplify

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

Mark me brainless

Answer: the sum is 5

Step-by-step explanation:

n+3 +n for n = 6 Can you help

Answers

Answer:

15

Step-by-step explanation:

If I am not mistaken, since n is 6 you would replace n with 6 so it would be 6+3+6= 15.

I hope this helps :)

The answer to this would be 15.
I hope this helps

what graph shows the solution to the system of linear inequalities? y>2/3x+3 y<_-1/3x+2

Answers

you did not attach a picture

What is the value of 9(4x - 4) when x = 5

Answers

Answer:

144

Step-by-step explanation:

plug in 5 where you see the x.

that gives us 9(4(5)-4)

multiply the 4 and the 5 first to get 9(20-4)

and by PEMDAS, we solve the parentheses first so now we have 9(16)

so now just multiply 9x16 to get 144

Step-by-step explanation:

9((4×5)-4)

9(20-4)

9(16)

144

QR is parallel to ST Rs is parallel TU QS is congruent to SU

prove QRS is congruent to STU

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

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f(x) = x - 5; translation 7 units right

Answers

Answer:

f(x-7) =  x -12

Step-by-step explanation:

horizontal translation 7 units right: f(x-7)

f(x) = x - 5

f(x-7) = x-7 -5 = x -12

Francis heard that a car stereo system was on sale for 30% off. If the original price was $62.40, what was the sale price of the stereo?

Answers

Answer:

89.14

Step-by-step explanation:

Which quotient is greater than 2?

50 ÷ 28
45 ÷ 23
38 ÷ 16
28 ÷ 15

Answers

38/16 is the answer

which of the following is true
GIVING BRAINLEST ​

Answers

Answer:

 KK

Step-by-step explanation:

Answer is 10.

Step-by-step explanation:

Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221
Please hurry, I am giving 50 points! I only have a limited time to answer it!!!

Answers

Answer: B. 77

Sub x =6 into the given expression

4x^2 - 12x + 5

= 4(6)^2 - 12(6) + 5

= 144 - 72 + 5

= 77

[tex]\\ \sf\longmapsto 4x^2-12x+5[/tex]

[tex]\\ \sf\longmapsto 4(6)^2-12(6)+5[/tex]

[tex]\\ \sf\longmapsto 4(36)-72+5[/tex]

[tex]\\ \sf\longmapsto 144-67[/tex]

[tex]\\ \sf\longmapsto 77[/tex]

Somebody pls help me with this

Answers

It will take 40 seconds to get to the other side

HELP ASAP WILL GIVE BRAINLY


Exercises
Determine whether each solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces.
edges, and vertices.

Answers

Answer:

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism?

wait but can't every face be a base???

anyway 7 faces, 10 vertices

4. triangular prism

5 faces, 6 vertices

Step-by-step explanation:

We have given the figure

We have to determine whether each solid is a polyhedron.

Then identify the solid.

If it is a polyhedron, name the bases, and faces.

edges, and vertices.

What is the vertex?

A vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism

anyway 7 faces, 10 vertices

4. triangular prism

5. faces, 6 vertices

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What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

Answers

[tex]{\underline{\underline{\bf{Given:}}}}[/tex]

A right-angled triangle DEFMeasure of angle F = 90°Measure of side DF = 13.6 mMeasure of side DE = 16.2 m

[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]

The measure of side EF.

[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]

Pythagorean Theorem:

[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]

[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]

According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.

[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]

[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]

[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]

[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]

[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]

[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]

[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]

[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]

The length of side EF is 8.802 m.___________________________________________

Please Help :))

Find the value of x in each pair of similar figures

Answers

Answer:

21

Step-by-step explanation:

set up proportion and solve

18/12=x/14 (cross multiply)

252=12x

21=x

When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?

Answers

Answer:

160 pounds

Step-by-step explanation:

If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds

Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In the afternoon, she soent four hours doing family portaits sessions but she didnt do as many session as the graduation portraits. Tomorrow, she has the same number of graduation and family sessions to work. Which will she likely finish in less time?

Answers

She will likely finish the graduation sessions in less time.

Can the sides of a triangle have lengths 13.9, 12.7, and 5.1?

yes or no?

Answers

Answer:

Yes

Step-by-step explanation:

Sure. For example 5.1+13.9>12.7 or 5.1+12.7>13.9 or 13.9-5.1<12.7

Answer:

Yes

Step-by-step explanation:

Factor using the trinomial
10.
X2 + 13x + 12

Answers

Answer:

Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]

Step-by-step explanation:

We need to factor the trinomial: [tex]x^2+13x+12[/tex]

We can factor the trinomial by breaking the middle term i.e 13x

Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2

We can break 13x as: 12x and x

Adding them we get 13x and multiplying them we get 12x^2

So,

[tex]x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)[/tex]

So, Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]



On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
m the lot. What percent of the total number of cars were in the parking lot on Saturday?

Answers

Answer:

0.4

Step-by-step explanation:

which ones are equal to eachother & why. A,B,C or D? ​

Answers

Put c I’m pretty sure it’s correct

Nancy and Linda go to their favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off coupon to use for her purchase of $25. What is the difference between the total the friends will pay individually

Answers

Answer:

Step-by-step explanation:

2.50

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.

The difference between individual pay is $6.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Nancy:

Coupon = 5% off

Cost of the purchase = $30

Amount to pay:

= 30 - (5/100) x 30

= 30 - 30/20

= 30 - 1.5

= $28.5

Linda:

Coupon = 10% off

Cost of the purchase = $25

Amount to pay:

= 25 - (10/100) x 25

= 25 - 2.5

= $22.5

The difference between individual pay:

= 28.5 - 22.5

= $6

Thus

The difference between individual pay is $6.

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Part C
Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now.

Answers

Answer:500(1.2)^x

Plato :)

Answer:

3

Step-by-step explanation:

PLATO

A computer company can inspect 12 laptops in 8 hours. what's the ratio

Answers

Answer:

4:1

Step-by-step explanation:

hope this helps

Answer:

The ratio is 1 hour to 1.5 laptops

Step-by-step explanation:

If you divide the time by amount done, there you have the answer.

What’s the percentage ?? Please fast!!! Asap

Answers

Answer:

52%.

Step-by-step explanation:

There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.

Answer:

52%

Step-by-step explanation:

26 out of 50 blocks are shaded orange

26/50 = 52%

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