2x+3y=9 and x-2y=8 system of equations

Answers

Answer 1

Answer:

(6, -1)

Step-by-step explanation:

Solve the System of Equations

2x + 3y = 9 and x − 2y = 8

Add 2y to both sides of the equation.

x = 8 + 2y 2x + 3y = 9

Replace all occurrences of x with 8 + 2y in each e quation.

Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9

x = 8 + 2y

Simplify 2 (8 + 2y) + 3y.

16 + 7y = 9

x = 8 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

7y = −7

x = 8 + 2y

Divide each term by 7 and simplify.  

y = −1

x = 8 + 2y

Replace all occurrences of y with −1 in each equation.

Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)

y = −1

Simplify 8 + 2 (−1).

x = 6

y = −1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6, −1)

The result can be shown in multiple forms.

Point Form:

(6, −1)

Equation Form:

x = 6, y = −1

Answer 2

Answer:

(6, -1)

Step-by-step explanation:


Related Questions

Is PRB congruent to QSB? Justify your answer.
This problem requires you to show your work and explain your reasoning.
Be sure to -
• Mark given information on the diagram
• Answer the question
• Provide justification statements that are mathematically correct

Answers

Answer:

   When looking at this model, and asking yourself the question, is PRB congruent to QSB? PRB is in fact congruent to QSB. Congruent means that two figures have the same shape/size, no matter if it's mirrioring or not it is congruent. In this image, PRB is one shape, and QSB is another. They have the exact same points and they're also the same shape, but one is flipped the right side up. It was also stated PQ and RS bisect eachother at point B, <p is congruent to <Q, and <R is congruent to <S proving all these connections make this figure conguent.

Step-by-step explanation:

Find the slope with (7, 4) and (8, 2)

Answers

Answer:

slope is -2

Step-by-step explanation:

2-4= -2

8-7=1

-2/1= -2

branliest plzzx

Ming wrote the table of points below.

x
y
5
10
10
20
15
30

Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the origin.

Answers

Answer:

I am 99.99% sure it is the first one

Jaylen has a pet grooming business. In 2018, he groomed 200 dogs. In 2019, he groomed 450 dogs. What was the percent increase in the number of dogs groomed? Don't forget your % sign.

Answers

Answer:

Percentage increase= 125%

Step-by-step explanation:

Giving the following information:

2018= 200 dogs

2019= 450 dogs

To calculate the percentage increase, we need to use the following formula:

Percentage increase= [(2019 - 2018)/2018]*100

Percentage increase= [(450 - 200)/200]*100

Percentage increase= 125%

Which equation represents this number sentence? Fourteen more than the quotient of a number and 5 is 23.
5/n+14=23
n+14/5=23
5/n+14=23
n/5+14=23​

Answers

Answer:

D) n/5+14=23​

Step-by-step explanation:

A) cannot be the right answer because the question states "quotient of a number and 5", which means that it has to be "n/5"B) cannot be the right answer because the question states "fourteen more than the quotient", which means that it has to be "n/5 + 14"C) cannot be the right answer because it's the same as A), it has to be "n/5"D) is the correct answer- this is because the question states "fourteen more than...", which means that "14" has to be added to the quotient; the question also says the "quotient of a number and 5", which means it should be "n/5"

Divide 2x4- 4x3 - 11x2 + 3x - 6 by x + 2.

Now, evaluate f (x) = 2x4 – 4x3 – 11x2 + 3x – 6 for x = –2.

f (–2) =

Need asap

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

11. A large pine tree was struck by lightning and fell as
shown by the diagram below. Which equation
could be used to find the length of the fallen part of
the tree?
8 ft
13 ft —
A. 82 +132 - X
B. N82+132 -
C. 132 - 82 = X
D. V132 - 82 - *

Answers

It forms a right triangle.

To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2

This can be rewritten as x = sqrt(a^2 + b^2)

Using the dimensions of the tree the answer would be :

B. x = sqrt(8^2 + 13^2)

The equation to find the length of the fallen part of the tree  is

[tex]x=\sqrt{8^2+13^2}[/tex]

Right Triangle.

Right triangles is a triangle with one angle is 90 degree.

The side opposite to 90 degree is the hypotenuse.

Pythagorean Theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The length of the fallen part of the tree is the hypotenuse

Hypotenuse is 'x'

Base of the triangle is 13 feet and height is 8 ft

Apply Pythagorean theorem to find out the hypotenuse 'x'

[tex]hypotenuse^2= base^2 + height ^2\\x^2=\sqrt{13^2+8^2} \\x=\sqrt{13^2+8^2}[/tex]

the equation to find the length of the fallen part is

[tex]x=\sqrt{8^2+13^2}[/tex]

Learn more information about 'Pythagorean theorem ' here

brainly.com/question/22605943

A recipe calls for 2 cups of milk. The recipe makes 10 servings. How many cups of milk are needed to make 8 servings?

Answers

Answer:

1.6 Cups of Milk

Step-by-step explanation:

1 serving = 0.2 cups of milk

8 servings= 0.2*8 which equals 1.6

I hope i helped you :)

10
Tim has $7.14 to spend on candy that costs $3 per pound.
Moby has $6.96 to spend on candy that costs $2.90 per
pound. Which of the following is true?

Answers

Answer:

Step-by-step explanation:

Tim has $7.14 to spend on candy that costs $3 per pound. Moby has $6.96 to spend on candy that costs $2.90 per pound. Which of the following is true?

A) Tim can't buy more than two pounds of candy

B) Moby can buy more candy than Tim

C) Tim can afford more candy than Moby

D) They can buy the exact same amount of candy

Correct Answer: Moby can buy more candy than Tim

can you please quick solve this, thank you:))
3x+2y=5
2x+2y=4

Answers

Answer:

(x,y)=(1,1)

Step-by-step explanation:

got it right on a test

Answer:

X=+4

y=-2

Step-by-step explanation:

this is simultaneous equations

hence,

using elimination method

3x+2y=5

2x+2y=4

2y eliminates 2y

3x+2x=5x=5*4

5x=20

X=20/5

X=+4

(2)

to find "y"

take any of the equation above

using equ(2)

2x+2y=4

2(4)+2y=4

+2y=+4-8

+2y=-4

y=-4/2

y=-2

hope it useful!

Function A is represented by the equation y = 2x+5.
Function B is a linear function that goes through the points shown in the
table.
X 1 3 4 6
y -1 3 5 9
Which statement correctly compares the rates of change of the two
functions?

A. The rate of change of function A is 5.
The rate of change of function B is 4.

B. The rate of change of function A is 2.
The rate of change of function B is 2.

C. The rate of change of function A is 2.
The rate of change of function B is 4.

D. The rate of change of function A is 5.
The rate of change of function B is 2.

Answers

Answer:

i think its A or D but idrk, it has been 3 days so what did you choose and did you get it right or wrong?

Step-by-step explanation:

Simplify -1.5(-3.6+2)
Pleaseee people

Answers

Answer:

Your answer is 2.4

Step-by-step explanation:

HELP PLEASE
Which number sentence is true
O A) 12 < |-12|
OB) |-121 <|-48|
C) |-48|< |48|
OD) |12| > |-48|

Answers

Answer:

A

Step-by-step explanation:

Gerald and his dog Spike get on the scale together. Their combined weight is 128 pounds. If the ratio of Gerald's weight to Spike's weight is 3:1, how much does Gerald weigh?

Answers

Gerald weighs 96 pounds. Spike weighs 32 pounds.

Answer:

96lbs

Step-by-step explanation:

g + s = 128

g = 3s

3s + s = 4s = 128

s = 128/4 = 32

g = 3s = 96

What is the Answer to -14.5 + (-1.24)

Answers

The answer would be -15.74

write 640000 in standard form​

Answers

Answer:

6.4×10⁵

Step-by-step explanation:

Answer:

640000 in a standard form is 6.4 ×10^5

Please help me with this, i just need to solve "b". Ty!

Answers

Answer:

15

Step-by-step explanation:

To find the rate of change, find the slope

Slope= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

        [tex]=\frac{35-20}{2-1}\\\\=\frac{15}{1}\\\\=15[/tex]

Please help! ( WIll mark Brianliest )

Help

Answers

Answer:y= (3/4)x -7/4

Step-by-step explanation:

[y -(-1)]/[x - 1] = [2 -(-1)]/[5 - 1]

[y + 1]/[x - 1] = 3/4

y + 1 = (3/4)x - 3/4

y = (3/4)x - 7/4.

simplify the expression. -1/4 -(1 1/2)

Answers

Answer:

- 7/4

Step-by-step explanation:

Solve by using substitution -5x-y=12 y=-4x-9

Answers

Answer:

(-3, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

-5x - y = 12

y = -4x - 9

Step 2: Solve for x

Substitution

Substitute in y:                              -5x - (-4x - 9) = 12Distribute negative:                      -5x + 4x + 9 = 12Combine like terms:                      -x + 9 = 12Subtract 9 on both sides:             -x = 3Divide -1 on both sides:                x = -3

Step 3: Solve for y

Define original equation:                    y = -4x - 9Substitute in x:                                     y = -4(-3) - 9Multiply:                                                y = 12 - 9Subtract:                                               y = 3

how many squares would have to be shaded to that 1/6 of the shape is shaded

Answers

Answer:

3 squares

Step-by-step explanation:

Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

1

Step-by-step explanation:

1 part

i m sorry my small brother wrote it

A factory produces 40 cars per week. What is the percentage in the production rate if it changes from 40 cars per week to 100 cars per week?

Answers

Answer:

100/40=2.5 or 250%

250% in production rate should be your answer.
250% because it multiplies by 2.5

20% of the total candy in a basket is Reese's chocolate. There are 8 Reese's in the basket. What is the total number of pieces of candy in the basket?

Answers

Answer:

I believe it is 40. I'm not 100% sure though

Step-by-step explanation:

If 20% of the candy is reese's and there are 8 reese's in the basket, to find the answer you must multiply 8 by 5. You multiply 8 by 5 because to get 100% you have to multiply 20% by 5 to get 100%.

Factor completely x3 – 3x2 - 9x + 27

Answers

Answer:

x³ - 3x² - 9x + 27

= x²(x - 3) - 9(x - 3)

= (x² - 9)(x - 3)

= (x -3)(x + 3)(x - 3)

= (x + 3)(x - 3)²

Step-by-step explanation:

Write 0.25x+1y=12 in slope-intercept form.

Answers

Answer:

y = -.25x + 12

Step-by-step explanation:

Subtract x on both sides.

y = -.25x + 12

There is your answer. The "1" before the y doesn't need to be written, as a rule in algebra, ones do need to be written and are assumed to be there if there is no number at all.

-.25 is the slope and 12 is the y-intercept.

Write the equation of the line that passes through the points (-6,8) and (8,8), Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line,

Answers

X = 8 vertical line btw

Would you rather pay for 3 gifts and get 1 free or use a coupon for 20% off and why?

Answers

Answer:

Pay for 3 and get one off

Step-by-step explanation:

Because you would get more for your bargain. A 20% coupon would be for one. but to buy 3 and get one free, that's a better deal.

(Pls give brainliest)

HELP PLEASE I DONT UNDERSTAND AND NEED TO PASS

Answers

Answer:

1: 80 degrees

Step-by-step explanation:

1:

Angle R is 130

Angle S is 60

Quadrilatural's angles add up to 360

360 - 130 - 60 = 170

In my opinion angle U looks like a right angle so 90 degrees.

170 - 90 = 80

so 80 degrees

unit 5 lesson 4.3 quiz answers

Answers

Answer:

There is nothing here to answer

Step-by-step explanation:

Write a power that has a value greater than 140 and less than 145.

Answers

Answer:

[tex]12^{2}[/tex]

Step-by-step explanation:

To find: a power that has a value greater than 140 and less than 145

Solution:

Take [tex]x=12^{2}[/tex]

Here,

[tex]12^{2}=144[/tex] and [tex]140<144<145[/tex]

That is [tex]140<x<145[/tex]

Therefore,

[tex]12^{2}[/tex] has a value greater than 140 and less than 145.

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