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Pearson Algebra 1 Common Core, 2011 View details

2. Solving Two-Step Equations

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Exercise 71 Page 93

How can you eliminate the denominator on the left-hand side?

y=144

Practice makes perfect

To solve the equation, we have to isolate y on one side. By multiplying both sides of the equation by 4, we can eliminate the denominator and isolate y.

y/4=36

MultEqn

LHS * 4=RHS* 4

y/4=36*4

FracMultDenomToNumber

a/4* 4 = a

y=36*4

Multiply

y=144

Therefore, y=144 is the solution to the equation. To check that we have the correct solution, we can substitute y=144 into the original equation and simplify.

y/4=36

Substitute

y= 36

144/4? =36

CalcQuot

Calculate quotient

36=36

Since the left-hand side and right-hand side are equal, y=36 is the correct solution.