QuestionC. 8 Solve two-step linear equations QAK You have prizes to reveal! Go to
Solve for $p$ . $\frac{p-17.6}{-3}=-0.7$ $p=$ $\square$ Submit Video (a) Questions answered 20 Time elapsed $\infty$ a4 42 ${ }^{8} 8$ NEI stc Smartscope out of 100 91 Next up

Studdy Solution

STEP 1

1. We are solving the equation $\frac{p-17.6}{-3}=-0.7$ for the variable $p$ .
2. This is a two-step linear equation.
3. The equation involves basic algebraic operations, specifically multiplication and addition.

STEP 2

1. Eliminate the fraction by multiplying both sides by $-3$ .
2. Isolate the variable $p$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

To eliminate the fraction, multiply both sides of the equation by $-3$ :
$-3 \times \frac{p-17.6}{-3} = -3 \times (-0.7)$
This simplifies to:
$p - 17.6 = 2.1$

STEP 4

To isolate $p$ , add $17.6$ to both sides of the equation:
$p - 17.6 + 17.6 = 2.1 + 17.6$
This simplifies to:
$p = 19.7$

STEP 5

Check the solution by substituting $p = 19.7$ back into the original equation:
$\frac{19.7 - 17.6}{-3} = -0.7$
Simplify the numerator:
$\frac{2.1}{-3} = -0.7$
Simplify the division:
$-0.7 = -0.7$
Both sides are equal, confirming that the solution is correct.
The solution is:
$\boxed{19.7}$

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