Solve for q. {:[(10)/(2q+8)=(1)/(10)],[q=]:}

Write equation and identify goal: Write down the given equation and identify the goal. We are given the equation (10)/(2q+8) = (1)/(10), and we need to solve for q.Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. (10) * (10) = (1) * (2q + 8)Perform multiplication on both sides: Perform the multiplication on both sides. 100 = 2q + 8Subtract to isolate term with q: Subtract 8 from both sides to isolate the term with q. 100 - 8 = 2q + 8 - 8 92 = 2qDivide to solve for q: Divide both sides by 2 to solve for q. 92 / 2 = 2q / 2 46 = q

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Solve for
q.

{:[(10)/(2q+8)=(1)/(10)],[q=]:}

Solve for $q$ . $\newline$ $\begin{array}{l} \frac{10}{2 q+8}=\frac{1}{10} \\ q=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

q

\newline

\begin{array}{l} \frac{10}{2 q+8}=\frac{1}{10} \\ q=\square \end{array}

Write equation and identify goal: Write down the given equation and identify the goal. $\newline$ We are given the equation $\frac{10}{2q+8} = \frac{1}{10}$ , and we need to solve for $q$ .
Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. $\newline$ $(10) \times (10) = (1) \times (2q + 8)$
Perform multiplication on both sides: Perform the multiplication on both sides. $100 = 2q + 8$
Subtract to isolate term with q: Subtract $8$ from both sides to isolate the term with $q$ . $\newline$ $100 - 8 = 2q + 8 - 8$ $\newline$ $92 = 2q$
Divide to solve for q: Divide both sides by $2$ to solve for $q$ . $\frac{92}{2} = \frac{2q}{2}$ $46 = q$