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Pearson Algebra 1 Common Core, 2011 View details

2. Solving Two-Step Equations

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Exercise 70 Page 93

How can you isolate y on the right-hand side?

y=3.8

Practice makes perfect

To solve the equation we need to isolate y on one side of the equation. By subtracting 3.2 from both sides, we can cancel it from the right-hand side.

7=3.2+y

SubEqn

LHS-3.2=RHS-3.2

7-3.2=3.2+y-3.2

SubTerm

Subtract term

3.8=y

RearrangeEqn

Rearrange equation

y=3.8

Therefore, y=3.8 is the solution to the equation. To check that we have the correct solution, we can substitute y=3.8 into the original equation and simplify.

7=3.2+y

Substitute

y= 3.8

7? =3.2+ 3.8

AddTerms

Add terms

7=7

Since the left-hand side and right-hand side are equal, y=3.8 is the correct solution.