Question

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solve 87x + 17y = 121 and 58x -23y =12

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Answer 1

x=121 -17y /87
58(121-17y/87)-23y
7018-986y -2001y=1044
-2987y=-5974
y=2
x=121-17y/87
x=121-34/87
x=87/87
x=1

Answer 2

Given Equation is 87x + 17y = 121  ------ (1)

Given Equation is 58x - 23y = 12   ------ (2)



Multiply Equation (1) by 2, Equation (2) by 3, we get

= > 174x + 34y = 242

= > 174x - 69y = 36

      ------------------------

                  103y = 206

                       y = 2.



Substitute y = 2 in (1), we get

= > 87x + 17y = 121

= > 87x + 17(2) = 121

= > 87x + 34 = 121

= > 87x = 87

= > x = 1


Therefore the value of x = 1 and y = 2.


Hope this helps!