SOLUTION: The solution to the system of equations below is: 3x+4y=-6, x-5y=17

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Question 92864This question is from textbook Finite Mathematics
: The solution to the system of equations below is: 3x+4y=-6, x-5y=17 This question is from textbook Finite Mathematics

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3x + 4y = -6
x - 5y = 17
:
Multiply 2nd equation by 3 and subtract from the 1st equation:
3x + 4x = -6
3x -15y = 51
------------- subtracting eliminates x
0x +19y = -57
y = -57/19
y = -3
:
Find x using the 1st equation:
3x + 4(-3) = -6
3x - 12 = -6
3x = -6 + 12
3x = 6
x = 2
:
Check solutions in the 2nd equation
2 - 5(-3) = 17
2 + 15 = 17
:
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