SOLUTION: solve by elimination: {{{3x+5y=-5}}} {{{-6x-10y=-10}}} thanks

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Question 459793: solve by elimination:
3x%2B5y=-5
-6x-10y=-10
thanks

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
solve by elimination:
3x%2B5y=-5
-6x-10y=-10
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Multiply each term in the first equation by -2.
-6x-10y=10
-6x-10y=-10
.
Subtract the second equation from the first.
0%2B0=20 .
Hmmm...we notice that both the x- and y-terms have cancelled out. We are left with 0 = 20 which is never true. This tells us that, the system has no solutions.
Notice that when we multiplied the first equation by -2, we got
-6x-10y=10
-6x-10y=-10
x and y have the same coefficients in both equations, so the slopes are the same. However, the y-intercepts are different (10 and -10). These lines are parallel. The lines never intersect, so the system has no solution.