# How do you find the values of x and y given [(4x), (5)]=[(15+x), (2y)]?

Dec 29, 2016

$x = 5$ and $y = \frac{5}{2}$

#### Explanation:

Set the corresponding positions in the two matrices equal to one another.

$4 x = 15 + x \textcolor{w h i t e}{a a a}$and $\textcolor{w h i t e}{a a a} 5 = 2 y$

$4 x = 15 + x \textcolor{w h i t e}{a a a a a a a a a} \frac{5}{2} = \frac{2 y}{2}$
$- x \textcolor{w h i t e}{a a a a} - x$

$\frac{3 x}{3} = \frac{15}{3} \textcolor{w h i t e}{a a a a a a a a a a a} \frac{5}{2} = y$

$x = 5$