Question

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Answer 1

Answer:

1. (-3,8) 2.(-10,1) 3.(8,2) 4.(2,5) 5.(0,4)   6.(1,1) 7.(-8,-5)

Step-by-step explanation:

Question number 1:

Step: Solvey=5x+23for y:

Step: Substitute 5x+23 for y in3x+2y=7:

3x+2y=7

3x+2(5x+23)=7

13x+46=7(Simplify both sides of the equation)

13x+46+−46=7+−46(Add -46 to both sides)

13x=−39

$\frac{3x}{3} =\frac{-39}{3}$ Divide by both sides by -3

x=-3

Substitute−3forxiny=5x+23

y=5x+23

y=(5)(−3)+23

y=8

Question number 2:

Solve x=−10for x

Substitute−10 for x in x+3y=−7

x+3y=−7

-10+3y=-7

3y−10=−7

3y−10+10=−7+10 Add 10 to both sides

3y=3

$\frac{3y}{3} =\frac{3}{3}$

y=1

Question number 3:

Solve−2x+18=2for x

−2x+18+−18=2+−18 Add -18 to both sides

−2x=−16

$\frac{-2x}{-2} =\frac{-16}{-2}$ Divide both sides by -2

x=8

Substitute 8 for  x in x=6y−4

x=6y−4

8=6y−4

8+−6y=6y−4+−6y Add -6y to both sides

−6y+8=−4

−6y+8+−8=−4+−8 Add -8 to both sides

−6y=−12

$\frac{-6y}{-6} =\frac{-12}{-6}$

y=2

Question number 4:

Solve y=2x+1 for  y

Substitute 2x+1 for y in y=−7x+19

y=−7x+19

2x+1=−7x+19

2x+1+7x=−7x+19+7x  Add 7x to both sides

9x+1=19

9x+1+−1=19+−1 Add -1 to both sides

9x=18

$\frac{9x}{9} =\frac{18}{9}$ Divide both sides by 9

x=2

Substitute2 for x in y=2x+1

y=2x+1

y=(2)(2)+1

y=5

Question number 5:

Solvey=−10x+4for y:

Step: Substitute−10x+4foryinx−3y=−12:

x−3y=−12

x−3(−10x+4)=−12

31x−12=−12

31x−12+12=−12+12    Add 12 to both sides

31x=0

$\frac{31x}{31} =\frac{0}{31}$    Divide both sides by 31

x=0

Substitute0forxiny=−10x+4:

y=−10x+4

y=(−10)(0)+4

y=4

Question number 6:

Solvex=yfor x:

Step: Substitute y for x in 3x+7y=10:

3x+7y=10

3y+7y=10   Combine like terms

10y=10

$\frac{10y}{10} =\frac{10}{10}$ Divide both sides by 10

y=1

Substitute 1 for y in x=y:

x=y

x=1

Question number 7:

Solvex=−y−13for x:

Step: Substitute−y−13forxin−2x−y=21:

−2x−y=21

−2(−y−13)−y=21

y+26=21

y+26+−26=21+−26 Add -26 to both sides

y=-5

Substitute−5foryinx=−y−13:

x=−y−13

x=−(−5)−13

x=−8

Answer 2

Answer:

1. (-3,8) 2.(-10,1) 3.(8,2) 4.(2,5) 5.(0,4)   6.(1,1) 7.(-8,-5)

Step-by-step explanation: