Question

Write a two column proof. Given: 7y=8x-14 ; y=6 Prove: x=7

Answer 1

7y = 8x - 14

7y= 7(6) Reason : Given

7y = 42

8x -14 = 42 Reason: Because 8x - 14 equals to 7y


8x = 42 + 14 Reason : Because we flip 14 on to the other side of the equation thus it becomes opposute of what it was.

8x = 56

× = 7

Proven

Answer 2

Given - 7y=8x-14 : y=6

Substitution Property - 7(6)=8x-14

Distributive Property - 8x-14=42

Addition Property - 8x=56

Division Property - x=7