# How do you find the values of x and y given #[(2y), (x)]=[(x-3), (y+5)]#?

##### 2 Answers

Dec 1, 2016

I found

#### Explanation:

For the two column matricesto be equal we need that:

so we substitute the second into the first for

rearrange:

substitute back into the secnd:

Dec 1, 2016

#### Explanation:

When 2 matrices are equal then.

#color(blue)"the x-components are equal and the y-components are equal"#

#rArr2y=x-3larr" x-components"# and

#x=y+5larr" y-components"# Substitute x = y + 5 into the x-components equation.

#rArr2y=y+5-3rArry=2#

#" and " x=2+5=7#