Answer:
x=35/17, y=10/17. (35/17, 10/17).
Explanation:
4x+3y=10
3x-2y=5
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3(4x+3y)=3(10)
-4(3x-2y)=-4(5)
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12x+9y=30
-12x+8y=-20
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17y=10
y=10/17
4x+3(10/17)=10
4x+30/17=10
4x=10-30/17
4x=170/17-30/17
4x=140/17
x=(140/17)/4
x=(140/17)/(1/4)
x=140/68
simplify
x=35/17