1

Problem

Solve for x in the equation 3x + 2y = 10.

2

Step

The given equation

3x + 2y = 10

3

Step

Subtract 2y from both sides:

3x + 2y − 2y = 10 − 2y

3x = 10 - 2y

4

Step

Divide both sides by 3:

\$ (3x)/3 = (10 - 2y )/3 \$

\$ x = (10 - 2y )/3 \$

5

Solution

So, the solution for x in terms of y is \$ x = (10 - 2y )/3 \$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

Isolate x by subtracting 2y from both sides and then dividing both sides by 3. So this is correct

Correct \$ x = (10 - 2y )/3 \$

8

Choice-B

This is incorrect because we subtracted 2y from 10, not added it

Wrong \$ x = (10 + 2y )/3 \$

9

Choice-C

This is incorrect because we subtracted 2y from 10, not added it, and there’s a sign mistake

Wrong \$ x = (-2y - 10 )/3 \$

10

Choice-D

This is incorrect because we didn’t subtract 2y from 10, we subtracted it from 0. Additionally, there’s a sign mistake

Wrong \$ x = (3y - 5 )/2 \$

11

Step

Option

A

12

Sumup

Please Summarize Choices