SOLUTION: elimination by addition method for (4x+7y=-16 and 6x+-y=-24) to get x and y

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: elimination by addition method for (4x+7y=-16 and 6x+-y=-24) to get x and y      Log On


   

Question 260387: elimination by addition method for (4x+7y=-16 and 6x+-y=-24) to get x and y
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
elimination by addition method for (4x+7y=-16 and 6x+-y=-24) to get x and y
:
4x + 7y = -16
6x + -y = -24
:
Multiply the 2nd equation by 7 and add to the 1st equation
4x + 7y = -16
42x - 7y = -168
-------------------addition eliminates y, find x
46x = -184
x = %28-184%29%2F46
x = -4
:
Find y using the 1st equation, replace x with -4
4(-4) + 7y = -16
-16 + 7y = -16
7y = -16 + 16
7y = 0
y = 0
:
Check solution in 2nd equation
6x + -y = -24
6(-4) - 0 = -24
-24 = -24; confirms our solutions