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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 12 Page 63

Use inverse operations until you have fully isolated x.

x=z/6y+2

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. However, first, we have to factor out x.

z=2x+6xy

Factor out x

z= x(2+6y)

Next, we have to eliminate the parenthetical factor. To do it we have to divide both sides of the equation by 2+6y.

z=x(2+6y)

.LHS /(2+6y).=.RHS /(2+6y).

z/2+6y= x(2+6y)/2+6y

CancelCommonFac

Cancel out common factors

z/2+6y=x

Finally, to find our final answer, we will rearrange the equation and the terms in the denominator.

z/2+6y=x

Rearrange equation

x=z/2+6y

CommutativePropAdd

Commutative Property of Addition

x=z/6y+2

Subchapter links

Exercises p.63