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What value of $q$ is a solution to this equation? $\newline$ $10q = 80$ $\newline$ Choices: $\newline$ (A) $q = 8$ $\newline$ (B) $q = 9$

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Which x satisfies an equation?

Full solution

Q. What value of

q

is a solution to this equation?

\newline

10q = 80

\newline

Choices:

\newline

(A)

q = 8

\newline

(B)

q = 9

Identify operation: Identify the operation needed to solve for $q$ . The equation is $10q = 80$ , which means we need to isolate $q$ . To do this, we will divide both sides of the equation by $10$ .
Divide by $10$ : Divide both sides of the equation by $10$ to solve for $q$ . We perform the operation $80 \div 10$ to find the value of $q$ . $q = \frac{80}{10}$ $q = 8$
Check solution: Check the solution by substituting the value of $q$ back into the original equation. $\newline$ Substitute $q = 8$ into the equation $10q = 80$ . $\newline$ $10 \times 8 = 80$ $\newline$ $80 = 80$ $\newline$ This is true, so $q = 8$ is the correct solution.

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