Answer :
Answer:
x = 2, y = 4
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x+\frac{3}{4}y=5&\text{multiply both sides by 4}\\x-\frac{1}{2}y=0&\text{multiply both sides by 6}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+3y=20\\6x-3y=0\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad10x=20\qquad\text{divide both sides by 10}\\.\qquad\dfrac{10x}{10}=\dfrac{20}{10}\\.\qquad\boxed{x=2}\\\\\\\text{Put it to the first equation:}\\\\4(2)+3y=20\\8+3y=20\qquad\text{subtract 8 from both sides}\\8-8+3y=20-8\\3y=12\qquad\text{divide both sides by 3}\\\boxed{y=4}[/tex]