Question

name ____ date ____
solve two-step equations #3
solve each equation.
$5h - 11 = 9$
$7v + 9 = -5$
$7(s - 12) = -28$
$-8x + 13 = 85$
$-3(n - 17) = -18$
$10(x + 34) = -90$
$6f + 25 = 66$
$4r - 12 = -36$
$2(d - 35) = 26$
$-3r - 18 = -33$
$5(m - 19) = -60$
$52 = 8p - 44$
$-75 = -5(c - 26)$
$-12q - 59 = 25$
$-99 = 11(y + 15)$
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Explanation:

Let's solve the first equation \( 5n - 11 = 9 \) as an example.

Step 1: Add 11 to both sides

To isolate the term with \( n \), we add 11 to both sides of the equation.
\( 5n - 11 + 11 = 9 + 11 \)
\( 5n = 20 \)

Step 2: Divide both sides by 5

To solve for \( n \), we divide both sides of the equation by 5.
\( \frac{5n}{5} = \frac{20}{5} \)
\( n = 4 \)

Answer:

For the equation \( 5n - 11 = 9 \), the solution is \( n = 4 \).

We can solve other equations similarly:

1. \( 7v + 9 = -5 \)

Step 1: Subtract 9 from both sides

\( 7v + 9 - 9 = -5 - 9 \)
\( 7v = -14 \)

Step 2: Divide by 7

\( \frac{7v}{7} = \frac{-14}{7} \)
\( v = -2 \)