Question 1025430
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Find solution set of equation:  
2x-5y=1,3x+4y=36
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2x - 5y =  1,      (1)
3x + 4y = 36.      (2)

Multiply equation (1) by 4 (both sides) and equation (2) by 5. You will get

 8x - 20y =   4,   (1')
15x + 20y = 180.   (2')

Now add (1') and (2') (both sides). In this way you eliminate "y" and get a single equation for "x":

8x + 15x = 4 + 180.

Simplify and solve it:

23x = 184,

x = {{{184/23}}} = 8.

Then from (2) 4y = 36 - 3*x = 36 - 3*8 = 12. Hence, y = {{{12/4}}} = 3.

<U>Answer</U>. x = 8, y = 3.
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