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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

3. Solving Equations with Variables on Both Sides

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Exercise 6 Page 19

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

No solution

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Distributive Property to simplify the left- and right-hand sides of the equation.

6(5-2v)=-4(3v+1)

Distribute 6

30-12v=-4(3v+1)

Distribute -4

30-12v=-12v-4

Now, we can continue to solve using the Properties of Equality.

30-12v=-12v-4

LHS+12v=RHS+12v

30-12v+12v=-12v-4+12v

Add terms

30=-4

Simplifying the equation resulted in a contradiction. Therefore, the equation has no solution.

Subchapter links

Try It p.18-20

Self-Assessment for Concepts & Skills p.20

Self-Assessment for Problem Solving p.21

Review & Refresh p.22

Concepts, Skills, & Problem Solving p.22-24