Steps-2

Title: Solve for a Variable in an Equation with Multiple Variables

Grade 6+ Lesson s3-l8

Explanation: Hello Students, time to practice and review the steps for the problem.

Quiz: Discussion Step

Discussion: Steps1 Steps2 Steps3 Steps4 Steps5

Id Type Name Note

1

Problem

Solve for x in the following equation:
21x - 15y + 5x + 28 = - 5y - 2

2

Step

The given equation is

21x - 15y + 5x + 28 = - 5y - 2

3

Step

Add the same terms in the given equation

26x -15y + 28 = -5y - 2

4

Step

Then move y terms and constant terms to right side

26x = 10y-30

5

Step

Solve for x value

\$x = (10y - 30) /26\$

6

Step

After simplifaction

\$x = \cancel(10y)^5 /\cancel(26)^13 - \cancel(30)^15/\cancel(26)^13\$

7

Solution

So, the solution for x is \$x = (5y -15) /13\$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This is incorrect. It doesn’t represent a valid solution for x

Wrong \$(13y + 5)/15\$

10

Choice-B

This is incorrect and different from the correct solution we found

Wrong \$x = (5y + 15)/13\$

11

Choice-C

This is incorrect. It’s not a valid solution for x

Wrong \$(13y -5)/15\$

12

Choice-D

This is correct. It matches the form of the correct solution we found

Correct \$(5y -15)/13\$

13

Step

Option

D

14

Sumup

Please Summarize Choices

Discussion: Steps1 Steps2 Steps3 Steps4 Steps5

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