Question

Find the value of x and y that satisfies both the equaties x/y= 2/3 and y/24=3/4

Answer 1

Answer:$\Large\boxed{x=12~;~y=18}$

Step-by-step explanation:

Given a system of equations

$1)~\frac{x}{y} =\frac{2}{3}$

$2)~\frac{y}{24} =\frac{3}{4}$

Multiply 24 on both sides of 2) equation to isolate y-value

$\frac{y}{24}\times24 =\frac{3}{4}\times24$

$\Large\boxed{y=18}$

Substitute the y-value into the 1) equation

$\frac{x}{18} =\frac{2}{3}$

Multiply 18 on both sides of 1) equation to isolate y-value

$\frac{x}{18}\times18 =\frac{2}{3}\times18$

$\Large\boxed{x=12}$

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