Question

Solve the following systems of equations :
x/3 + y/4 = 11
5x/6 − y/3 = −7

Answer 1

Answer:

refer to the attachment for solution

Answer 2

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).