# Solve for x and y

Since, if a = b = c a = b & b = c

Thus, we have

and

Lets simplify these equations. We can rewrite them,

3(x + y – 8) = 2(x + 2y – 14)

3x + 3y – 24 = 2x + 4y – 28

3x – 2x + 3y – 4y = - 28 + 24

x – y = - 4 …(i)

3(3x + y – 12) = 11(x + 2y – 14)

9x + 3y – 36 = 11x + 22y – 154

11x – 9x + 22y – 3y = 154 – 36

2x + 19y = 118 …(ii)

To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.

Lets multiply eq.(i) by 19, so that variable y in both the equations have same coefficient.

Recalling equations (i) & (ii),

x – y = - 4 [×19

2x + 19y = 118

21x = 42

x = 2

Substitute x = 2 in eq.(i)/eq.(ii), as per convenience of solving.

Thus, substituting in eq.(i), we get

2 – y = - 4

y = 2 + 4

y = 6

Hence, we have x = 2 and y = 6

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