Answer:[tex]\Large\boxed{x=12~;~y=18}[/tex]
Step-by-step explanation:
Given a system of equations
[tex]1)~\frac{x}{y} =\frac{2}{3}[/tex]
[tex]2)~\frac{y}{24} =\frac{3}{4}[/tex]
Multiply 24 on both sides of 2) equation to isolate y-value
[tex]\frac{y}{24}\times24 =\frac{3}{4}\times24[/tex]
[tex]\Large\boxed{y=18}[/tex]
Substitute the y-value into the 1) equation
[tex]\frac{x}{18} =\frac{2}{3}[/tex]
Multiply 18 on both sides of 1) equation to isolate y-value
[tex]\frac{x}{18}\times18 =\frac{2}{3}\times18[/tex]
[tex]\Large\boxed{x=12}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
