Answer:
Multiply the first equation by 2
2(2x+y=5) to get 4x + 2y = 10
add the second equation 3x-2y=4
4x + 3x + 2y + -2y = 10 + 4
7x = 14
x = 2
...
Multiply the first equation by 3 and the second equation by -2 then add
3(2x+y=5) to get 6x + 3y = 15
-2(3x-2y=4) to get -6x + 4y = -8
add them
6x + -6x + 3y + 4y = 15 + -8
7y = 7
y = 1
...
x = 2 , y = 1
(2, 1) is the solution
...
check
2(2) + 1 = 5
4 + 1 = 5
5 = 5
Correct
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