Solve the following systems of equations :
x/3 + y/4 = 11
5x/6 − y/3 = −7
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x = 6 and y = 36.
Step-by-step explanation:
x/3 + y/4 = 11
4x + 3y = 132 -------------(1)
5x/6 − y/3 = −7
15x - 6y = -126 -------------(2)
Adding equations (1)*2 & (2), we get: 23x = +138. So x = 138/23 = 6
Substituting x = 6 in equation 1, we get: 24 + 3y = 132
3y = 108
y = 36
Hence solved. x = 6 and y = 36.
If you draw a graph for the equations, you will get two straight lines. The co-ordinates of the point of intersection of the two lines will be the solution. The point of intersection will be (6, 36).
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