SOLUTION: Find the values of x and y that solve the following system of equations. -3x-4y = -22 5x - 8y = -22

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the values of x and y that solve the following system of equations. -3x-4y = -22 5x - 8y = -22      Log On


   

Question 394513: Find the values of x and y that solve the following system of equations.
-3x-4y = -22
5x - 8y = -22
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
-3x-4y = -22
5x - 8y = -22
:
Multiply the 1st equation by -2
6x + 8y = 44
5x - 8y = -22
----------------adding eliminates y, find x
11x = 22
x = 22%2F11
x = 2
:
Find y using the 2nd equation
5(2) - 8y = -22
10 - 8y = -22
-8y = -22 - 10
-8y = -32
Multiply both sides by -1
8y = 32
y = 32%2F8
y = 4
:
:
Check solutions in the 1st equation
-3x - 4y = -22
-3(2) - 4(4) = -22
-6 - 16 = -22; confirms our solutions