Question

Solve the following systems of equations :
23x – 29y = 98
29x – 23y = 110

Answer 1

Step-by-step explanation:

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Answer 2

x = 3, y = -1

Step-by-step explanation:

Given linear equations are:

23x – 29y = 98-------------(1)

29x – 23y = 110-------------(2)

Adding (1) and (2), we get: 52x - 52y = 208

Dividing by 52, we get x - y = 4 -------------(3)

Substracting (1) from (2), we get 6x + 6y = 12

Dividing by 6, we get x + y = 2 -------------(4)

Adding 3 & 4, we get 2x = 6, meaning x = x.

Substituting x = 3 in equation 3, we get 3 - y = 4

Therefore y = -1

Hence solved. x = 3, y = -1