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Big Ideas Math Integrated I, 2016

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Big Ideas Math Integrated I, 2016 View details

1-3. Quiz

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Exercise 16 Page 26

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

The equation has infinitely many solutions.

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, using the Properties of Equality. In this case, we start by using the Distributive Property to simplify both sides of the equation.

- 4(-5h-4)=2(10h+8)

Distribute - 4

20h+16=2(10h+8)

Distribute 2

20h+16=20h+16

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

20h+16=20h+16

LHS-20h=RHS-20h

20h+16-20h=20h+16-20h

Subtract terms

16=16

Simplifying the given equation resulted in an identity, both sides of the equation are exactly the same. Therefore, the equation has infinitely many solutions.