CPM Homework Help : GB8I Problem 7-63

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Home > GB8I > Chapter 7 Unit 8 > Lesson INT1: 7.1.5 > Problem 7-63

7-63.

Solve for the indicated variable by rewriting each equation.

Hint:

Read the Math Notes box for section 3.3.1 to review properties for solving equations.

$V = LWH$ (for $W$ )
Hint (a):
The equation contains multiplication. To undo the multiplication divide both sides by $L$ and $H$ .

$y=\frac { x } { 2 } + 3$ (for $x$ )
Hint (b):
When solving an equation, use the Addition or Subtraction Property of Equality first to isolate the term with the variable. In this case you will be adding the opposite of $3$ . Then use the Multiplicative Property of Equality.
Answer (b):
$x = 2(y − 3) = 2y − 6$

$\frac { E } { R } = I$ (for $R$ )
Step (c):
Use the Multiplicative Property of Equality and multiply both sides of the equation by $R$ .

$2x + \frac { 1 } { y }=3$ (for $y$ )
Step 1(d):
Add $−2x$ to both sides of the equation.
Step 2(d):
Multiply both sides of the equation by $y$ .
Step 3(d):
Divide both sides of the equation by $(3 − 2x)$ .
Answer (d):
$y=\frac{1}{\left(-2x+3\right)}$

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