Answer:
The solution is the point (2,-2)
Step-by-step explanation:
we have
[tex]-4x+8y=-24[/tex] -----> equation A
[tex]7x-5y=24[/tex] -----> equation B
step 1
Multiply by 7 equation A both sides
[tex]7(-4x+8y)=7(-24)[/tex]
[tex]-28x+56y=-168[/tex] -----> equation C
step 2
Multiply equation B by 4 both sides
[tex]4(7x-5y)=4(24)[/tex]
[tex]28x-20y=96[/tex] -----> equation D
step 3
Adds equation C and equation D
[tex]-28x+56y=-168\\28x-20y=96\\-----------\\56y-20y=-168+96\\36y=-72\\y=-2[/tex]
Find the value of x
substitute the value of y in any equation
equation A
[tex]-4x+8(-2)=-24\\4x=-16+24\\4x=8\\x=2[/tex]
therefore
The solution is the point (2,-2)
