Question

Given: 4x - 7 = 2x + 9

Prove: x = 9

What is the missing reason?

1. 4x - 7 = 2x + 9 ------------- 1. Given

2. 2x - 7 = 9 ------------------- 2. ?????

3. 2x = 18 --------------------- 3. Addition Property of Equality

4. x = 9 ------------------------ 4. Division Property of Equality
A) Multiplication property of equality
B) Subtraction property of equality
C) Transitive property of equality
D) Substitution property of equality

Answer 1

Since the difference between steps 1 and 2 is that 2x was subtracted from both sides, i'm pretty sure the answer is B, the Subtraction property of equality. Hope this helps you!

Answer 2

B) Subtraction property of equality

Explanation:

4x - 7 = 2x + 9

Subtract 2x from each side using the subtraction property of equality

4x -2x - 7 = 2x-2x + 9

2x -7 = 9