Question

Your friend asks for help on the following question:

Solve the system of equations using substitution:
x+7 y=0
2 x-8 y=22
Your friend says they want to rearrange the first equation for x and get x=-7 y, but now they are stuck. What needs to be done next?________
After doing this, you will now have______________
You tell your friend to remember that substitution means to replace. So we are replacing _____ with_________
Final answer is________

Answer 1

(7,-1)

Explanation:

x + 7y = 0

x = -7y Substitute -7y for x

2x -8y = 22

2(-7y) - 8y = 22

-14y - 8y = 22

-22y = 22 Divide both sides by -1

y = -1

Solve for x:

x - -7y

x = -7(-1)

x = 7

(7,-1)