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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Maintaining Mathematical Proficiency

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Exercise 10 Page 63

Use inverse operations until you have fully isolated x.

x=y/7

Practice makes perfect

To solve the given literal equation for x, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined. First, we will simplify the right-hand side.

y=8x-x

Subtract term

y=7x

Next, we have to eliminate 7 from in front of x. Division is the inverse operation to multiplication, so we have to divide both sides of the equation by 7.

y=7x

.LHS /7.=.RHS /7.

y/7= 7x/7

Calculate quotient

y/7=x

Finally, we will rearrange the equation, so that the x-variable is on the left-hand side.

y/7=x

Rearrange equation

x=y/7

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Exercises p.63