Question

What is the solution to the system of linear equations?

−9x+4y=55

−11x+7y=82

X=
Y=

Answer 1

x= 3 and y=7

7(-9x+4y=55)
-4(-11x+7y=82)

63x + 28y = 385
44x - 28y = -328
-------------------------
19x =57
x=3

63(3) + 28y = 385
189 = 28 = 385
28y = 196
y=7

Answer 2

we have

`-9x+4y=55` -----> equation A

`-11x+7y=82` -----> equation B

Using a graphing tool

we know that

the intersection both graphs is the solution of the system of equations

see the attached figure

The solution is the point
`(-3,7)`

therefore

the answer is

`x=-3\\y=7`