Question

Jeremy's work to solve the equation

-3x+1
2
2x – 10 is shown below.
Step
Work
Justification
1
-3.1+1
2
= 2x – 10
2
-3x +1 = 4x – 20
3
–7x + 1 = –20
4
72 = -21
5
= 3
Identify the mathematical properties Jeremy uses to justify his steps.

Answer 1

C

Explanation:

The following are mathematical properties that justifies each step Jeremy made:

✔️Step 1: Given

Jeremy simply stated the given equation.

✔️Step 2: Multiplication Property of Equality

Jeremy multiplied both sides of the equation by 2

✔️Step 3: Subtraction property of equality

4x was subtracted from both sides

✔️Step 4: Subtraction property of equality

1 was subtracted from both sides

✔️Step 5: Division property of equality

Both sides were divided by -7