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Mathematics
Tucker
22 February, 16:20
4x-2y = - 2
3x+2y = - 12
+4
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Lucia Jacobson
22 February, 19:39
0
x=-2
y=-3
Step-by-step explanation:
4x-2y = - 2
3x+2y = - 12
This is a simultaneous equation, which can be solved using either the elimination method or the substitution method. But for the purpose of this question, we would be using the elimination method.
4x-2y = - 2 Equation 1
3x+2y = - 12 Equation 2
Since, y in both equations has the same coefficient, we can easily eliminate it by adding both equations together.
4x+3x=7x
-2y + (+2y) = - 2y+2y=0
-2 + (-12) = -2-12=-14
We now have
7x=-14
x=-14/7
x=-2
We substitute x with - 2 in any of the equations to get y. Let's take equation 2
3x+2y = - 12
3 (-2) + 2y=-12
-6+2y=-12
2y=-12+6
2y=-6
y=-6/2
y=-3
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