Explanation:
2x + 8y = -3 -------------------------------------------------------------------(1)
3x + 6y = -4 --------------------------------------------------------------------(2)
To eliminate a variable in the system of equations, we will follow the steps below;
To eliminate the x variable:
we multiply through equation(1) by 3 and multiply through equation (2) by 2
6x +24y = -9 ----------------------------------------------------------------------(3)
6x + 12y = -8 -----------------------------------------------------------------------(4)
Next, is to subtract equation (2) from equation (1)
(This will cause the x variable to be eliminated)
6x-6x = 0 24y - 12y = 12y -9--8=-9+8=-1
12 y = -1
or
To eliminate the y variable
we will;
Multiply through equation (1) by 6 and multiply through equation (2) by 8
12x + 48y = -18 -----------------------------------------------(5)
24x +48y = -32 ----------------------------------------------(6)
subtract equation (5) from equation (6)
This will cause the y variable to be eliminated
That is;
24x - 12x = 12x 48y-48y=0 -32--18 = -32+18 =-14
12x = -14