Solve the following system of equations. -5x+4y=19
4x-5y=-8
I got this question wrong on a test recently and I was wondering if someone could help me figure out how to do it.
+130516 -5x+4y=19
4x- 5y= -8 multiply the top equation by 4 and the bottom one by 5
-20x + 16y = 76
20x -25y = -40 add the equations
-9y = 36 divide both sides by -9
y = - 4 and using either equation, we can find x
4x - 5(-4) = -8
4x + 20 = -8 subtract 20 from both sides
4x = -28 divide both sides by 4
x = -7
So { x , y} = {-7, -4 }
