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

2 Answers
Dec 1, 2016

I found x=7 and y=2

Explanation:

For the two column matricesto be equal we need that:
2y=x-3
x=y+5
so we substitute the second into the first for x:
2y=y+5-3
rearrange:
y=2
substitute back into the secnd:
x=2+5=7

Dec 1, 2016

x=7" and " y=2

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