SOLUTION: solve the following system of equations 3y=-10-5x 3x+5y=-6

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Question 57021: solve the following system of equations
3y=-10-5x
3x+5y=-6
Found 2 solutions by stanbon, rchill:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3y=-10-5x
3x+5y=-6
------------
1st: 5x+3y=-10
2nd: 3x+5y=-6
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Multiply 1st by 3 ; Multiply 2nd by 5 to get:
3rd: 15x+9y=-30
4th: 15x+25y=-30
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Subtract 3rd from 4th to get:
16y=0
y=0
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Substitute in 1st to solve for y:
5x+0=-10
x=-2
--------
Check the answer in 2nd:
3(-2)+5(0)=-6
-6=-6
--------
So the solution of the system
is x=-2, y=0
Cheers,
Stan H.

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
First, solve both equations for y and get y=-expr%285%2F3%29x-expr%2810%2F3%29 and y=-expr%285%2F3%29x-expr%286%2F5%29. Create some ordered pairs, draw the lines, and see where they intersect -- the point of intersection is the solution. If the lines are parallel (they have the same slope, but different y-intercepts), there is no solution, which is the case here. If the lines are the same, there is an infinite solution. The graph is:
graph%28200%2C200%2C-5%2C5%2C-5%2C5%2C-5x%2F3-10%2F3%2C-5x%2F3-6%2F5%29