5x + 4y = -14-----------(1)
3x + 6y = 6---------------(2)
solving equation(1) and equation(2) simultaneously using elemination method
By multiplying equation(1) by 3 and Equation (2 ) by 5 as shown below
5x + 4y = -14-----------(1) x 3
3x + 6y = 6---------------(2) x 5
15x + 12y = -42-----------(3)
15x + 30y = 30-----------(4)
By subtracting equation (4) from equation (3) we have
(15x - 15x) +(12y-30y) = -42 -30
0 + (-18y) = -72
-18y = -72
y = -72/-18 = 4
y = 4
By substituting y into equation (1) so as to be able to get X.
5x + 4y = -14
5x + 4(4) = -14
5x + 16 = -14
5x =-14-16
5x = -30
x = -30/5 = -6
x = -6
Finally our answer is X = -6 and Y = 4.
