Question - Solving for x in an Equation Involving Fractions
Solution:
The equation is:\[ \frac{2(3x - 4y)}{x} = 10 \]To solve for $$ x $$, follow these steps:1. Multiply both sides by $$ x $$ to remove the denominator:\[ 2(3x - 4y) = 10x \]2. Expand the left side:\[ 6x - 8y = 10x \]3. Rearrange the equation to get all terms involving $$ x $$ on one side:\[ 6x - 10x = 8y \]4. Combine like terms:\[ -4x = 8y \]5. Divide both sides by -4 to solve for $$ x $$:\[ x = \frac{8y}{-4} \]\[ x = -2y \]Therefore, $$ x $$ equals negative two times $$ y $$.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com