3x-4y=6 5x-4y=2 Let's subtract the first equation from the second: 2x=-4 whence x=-2 Now we can find y. Consider the first equation: 3*(-2)-4y=6 4y=-6-6=-12 whence y=-3 So the answer is (-2,-3)
We can verify obtained answer by substituting it into initial system: 3*(-2)-4*(-3)=6& <=> -6+12=6& <=> 6=6 5*(-2)-4*(-3)=2& <=> -10+12=2& <=> 2=2
We obtained right equalities hence our answer is correct because it turns the initial system into right equalities.
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