4x+5y= −2 (a)
4x+3y= 10 (b)
Solve by elimination: multiply (a) by - 1:
-4x - 5y = + 2
4x + 3y = 10, Now add both:
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0x - 2y = 12 and y = - 6
Replace y by - 6 in any of the equations let's take a) 4x - 30 = -2
and x = 28/4 = 7
so x = 7 and y = -6
