Multiply both sides of each equation by a common denominator to eliminate the fractions. Then solve the system.
-$\frac{3 x}{8}-\frac{3 y}{5}=\frac{33}{80}$
$\frac{4 x}{7}+\frac{4 y}{5}=\frac{37}{35}$
A) $\left(\frac{1}{4}, \frac{1}{2}\right)$
B) $\left(\frac{3}{4}, \frac{1}{2}\right)$
C) $\left(\frac{3}{2}, \frac{3}{4}\right)$
D) $\left(\frac{3}{2}, \frac{1}{4}\right)$

Question

Quizplus · Accepted Answer

By multiplying each equation by the least common multiple of the denominators, we eliminate the fractions and solve the resulting system of linear equations to find $x = \frac{3}{2}$ and $y = \frac{1}{4}$.

Multiply Both Sides of Each Equation by a Common Denominator 3x8−3y5=3380\frac{3 x}{8}-\frac{3 y}{5}=\frac{33}{80}83x​−53y​=8033​

Multiply Both Sides of Each Equation by a Common Denominator $\frac{3 x}{8}-\frac{3 y}{5}=\frac{33}{80}$