Exercise 1 Page 112

To solve the given literal equation for

y,

we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

- 2 x + 5 y = 12

$LHS + 2 x = RHS + 2 x$

- 2 x + 5 y + 2 x = 12 + 2 x

Add terms

5 y = 12 + 2 x

$LHS / 5 = RHS / 5$

\frac{5 y}{5} = \frac{1 2 + 2 x}{5}

$\frac{a}{b} = \frac{a / 5}{b / 5}$

y = \frac{1 2 + 2 x}{5}

Commutative Property of Addition

y = \frac{2 x + 1 2}{5}