What is the solution to the system of linear equations?
−9x+4y=55
−11x+7y=82
+128475 −9x+4y=55
−11x+7y=82
Multiply the top equation through by 7 and the bottom equation through by -4 and we get
-63x + 28y = 385 (1)
44x - 28y = -328 (2)
Add (1) and (2) and we have
-19x = 57 divide both sides by -19
x = -3
And using -9x + 4y = 55 we can find y as
-9(-3) + 4y = 55
27 + 4y = 55 subtract 27 from both sides
4y = 28 divide both sides by 4
y = 7
So ....(x,y) = ( -3, 7)
