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

2 Answers
Dec 1, 2016

Answer:

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

Answer:

#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#