Sure! Let's solve the equation step-by-step:
We are given the equation:
[tex]\[
\frac{7}{9} = \frac{14}{x}
\][/tex]
Step 1: Cross multiply to eliminate the fractions. To do this, we multiply both sides of the equation by [tex]\(9x\)[/tex]:
[tex]\[
7x = 14 \cdot 9
\][/tex]
Step 2: Simplify the equation by performing the multiplication on the right-hand side:
[tex]\[
7x = 126
\][/tex]
Step 3: Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex] on one side of the equation. To do this, divide both sides by 7:
[tex]\[
x = \frac{126}{7}
\][/tex]
Step 4: Simplify the division:
[tex]\[
x = 18
\][/tex]
Thus, the solution to the equation [tex]\(\frac{7}{9} = \frac{14}{x}\)[/tex] is:
[tex]\[
x = 18
\][/tex]
