Warm Up Solutions

Clear the fraction(s) from the equation. Do not solve.

$\frac{2}{5} (x - 8) = 7 y$

$\begin{array}{rcl} (5) \frac{2}{5} (x - 8) & = & 7 y (5) \\ 2 (x - 8) & = & 35 y \end{array}$

$\frac{4}{3} g + \frac{1}{8} h = - 6$

$LCD (3, 8) = 24 24 (\frac{4}{3} g + \frac{1}{8} h) = - 6 (24) 32 g + 3 h = - 144$

Rewrite the equation so that the value of the constant is equal to one.

Note

Problems 3–4

The constant is circled to identify the term that needs to be rewritten so that the value is one.

Q: What is a constant?

A: A number (without a variable)

Q: What is the constant for this problem?

A: The constant is 9.

Q: How will you rewrite it to have a value of one?

A: Divide all terms by 9.

$5 x + 3 y = 9$

$\begin{array}{rcl} 5 x + 3 y & = & 9 \\ \frac{5 x}{9} + \frac{3 y}{9} & = & \frac{9}{9} \\ \frac{5 x}{9} + \frac{y}{3} & = & 1 \end{array}$

$2 x - 15 y = - 30$

$\begin{array}{rcl} 2 x - 15 y & = & - 30 \\ \frac{2 x}{- 30} - \frac{15 y}{- 30} & = & \frac{- 30}{- 30} \\ - \frac{x}{15} + \frac{y}{2} & = & 1 \end{array}$