Question

What is the solution to the system of equation? Write the x-value or x-coordinate.

7x+2y=24
8x+2y=30

What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.

Answer 1

X = 6, y=-9

Explanation:

7x + 2y =24 equation 1

8x + 2y=30 equation 2

-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y

-7x-2y=-24 equation 1 multiplied by -1

8x+2y=30 equation 2

x+0=6 add above 2 equations

x=6

solve for y

7x + 2y=24

7(6) + 2y=24

42 + 2y =24

2y=-18

y=-9

check answers

8x + 2y=30

8(6) + 2(-9)=30

48-18=30

30=30

7x + 2y = 24

7(6)+2(-9)=24

42-18=24

24=24