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In the following exercises, solve:

4v+3=v-6.

Short Answer

Expert verified

The solution is,v=-3.

Step by step solution

01

Step 1. Given Information.

The expression is,

4v+3=v-6.

02

Step 2. Finding the solution.

4v+3=v-6

Squaring both sides,

role="math" localid="1647931083826" ⇒(4v+3)2=(v-6)2⇒4v+3=v-6

Subtracting 3on both sides,

⇒4v=v-6-3⇒4v=v-9

Subtracting vboth sides,

⇒4v-v=-9⇒3v=-9

Dividing both sides by 3,

⇒3v3=-93⇒v=-3

03

Step 3. Checking the solution.

4v+3=4×(-3)+3

=-12+3=-9

v-6=-3-6

=-9

The solution is true.

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