Answer:
x = 2
y = -1
Explanation:
Make the coefficient of x the same
Multiply the first equation by 29
31x + 29y = 33 becomes
899x + 841y = 957
Multiply the second equation by 31
29x + 31y = 27 becomes
899x + 961y = 837
Subtract the equations
(899x + 841y) - (899x + 961y) = 957 - 837
(899x - 899x) + (841y - 961y) = 120
841y - 961y = 120
-120y = 120
y = 120/-120 = -1
Substitute the value of y into both equations to find the value of x and check its right.
31x + 29y = 33
31x + 29(-1) = 33
31x - 29 = 33
31x = 33 + 29
31x = 62
x = 62/31 = 2
29x + 31y = 27
29x + 31(-1) = 27
29x - 31 = 27
29x = 27 + 31
29x = 58
x = 58/29 = 2