Question

Solve the following system of equations.
4x+5y= −2
4x+3y= 10

x=?
y=?

Answer 1

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

Answer 2

2y = -12 -> y = 6

so 4x + 18 = 10 -> x = -2