Question

solve and check.
\\(\frac{7}{9}x = 14\\)
\\(x = \\)
need help? read it

Explanation:

Step1: Isolate x by multiplying both sides by 9/7

To solve for \( x \) in the equation \( \frac{7}{9}x = 14 \), we multiply both sides by the reciprocal of \( \frac{7}{9} \), which is \( \frac{9}{7} \). So we have:

$$ x = 14\times\frac{9}{7} $$

Step2: Simplify the right - hand side

First, we can simplify \( 14\div7 = 2 \). Then we multiply \( 2\times9 \). So:

$$ 14\times\frac{9}{7}=\frac{14\times9}{7}=\frac{126}{7} = 18 $$

Step3: Check the solution

Substitute \( x = 18 \) back into the original equation \( \frac{7}{9}x \). We get \( \frac{7}{9}\times18 \). \( 18\div9 = 2 \), and \( 7\times2=14 \), which matches the right - hand side of the original equation.

Answer:

\( x = 18 \)