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Chapter 1: Q35 (page 10)

Find the value of the variable.

5y=3y+26

Short Answer

Expert verified

The value of the variable is y=13.

Step by step solution

01

Step 1. Subtract 3y.

First subtract 3y from both sides of the equation 5y=3y+26.

5y鈭�3y=3y+26鈭�3y

02

Step 2. Combine the like terms.

To further simplify open the brackets and combine the like terms.

5y鈭�3y=3y鈭�3y+262y=26

03

Step 3. Divide by 2.

Divide both sides of the equation 2y=26by 2 and cancel the common factors of 2 on both sides.

2y2=262y=13脳22y=13

04

Step 4. Verify the value.

In order to verify the value of y, substitute 13 for y into the equation 5y=3y+26.

5脳13=3脳13+2665=39+2665=65True

Hence, the value of the variable is y=13.

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Most popular questions from this chapter

Sketch and label the figures described. Use dashes for hidden parts.

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Find the value of the variable.

7-z=13

For the following figure, find AB is the same as BA or not.

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Name a fourth point that is in the same plane as the given points.

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