Select the correct answer.

What is the justification for step 2 in the solution process?

[tex]\[ 10x - 25 - 3x = 4x - 1 \][/tex]

Step 1: [tex]\[ 7x - 25 = 4x - 1 \][/tex]
Step 2: [tex]\[ 7x = 4x + 24 \][/tex]

A. the multiplication property of equality
B. the addition property of equality
C. the division property of equality
D. the subtraction property of equality

Question

16-07-2024
Mathematics

Answered

Select the correct answer.

What is the justification for step 2 in the solution process?

[tex]\[ 10x - 25 - 3x = 4x - 1 \][/tex]

Step 1: [tex]\[ 7x - 25 = 4x - 1 \][/tex]
Step 2: [tex]\[ 7x = 4x + 24 \][/tex]

A. the multiplication property of equality
B. the addition property of equality
C. the division property of equality
D. the subtraction property of equality

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-16T10:24:12-04:00

To determine the justification for Step 2 in the solution process, let's carefully analyze each step.

Step 1:
[tex]\[ 7x - 25 = 4x - 1 \][/tex]

We need to isolate the variable term on one side. To do this, we add 25 to both sides of the equation:

[tex]\[ 7x - 25 + 25 = 4x - 1 + 25 \][/tex]

This simplifies to:

[tex]\[ 7x = 4x + 24 \][/tex]

Thus, the process of moving from Step 1 to Step 2 involved adding 25 to both sides of the equation.

Hence, the property used in Step 2 is the addition property of equality.

So, the correct answer is:

B. the addition property of equality