solve if 4x+5y=23 and 5x +4y=22 then x+y=?
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4x+5y=23 eq 1
5x+4y=22 eq 2
4x+5y=23 multiplying the eq by 5
5x+4y=22 multiplying the eq by 4
we get
20x+25y=115
20x+16y=88
subtracting eq 2 from eq 1
9y=27
y=3
putting the value of y in eq 1
we get
4x+15=23
4x=8
x=2
therefore x+y=2+3=5
5x+4y=22 eq 2
4x+5y=23 multiplying the eq by 5
5x+4y=22 multiplying the eq by 4
we get
20x+25y=115
20x+16y=88
subtracting eq 2 from eq 1
9y=27
y=3
putting the value of y in eq 1
we get
4x+15=23
4x=8
x=2
therefore x+y=2+3=5
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