3-(x-y)=y+2 ,2 (x+5)=4-3y
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Answer :-
We pick either of the equations and write one variable in terms of the other.
Let us consider the equation 3−(x−5)=y+2 and write it as
3−x+5=y+2
or −x−y=−6
or x+y=6
or y=6−x...........(1)
Now the equation 2(x+y)=4−3y can be rewritten as:
2x+2y=4−3y
or 2x+5y=4
Substitute the value of y in the equation 2x+5y=4. We get
2x+5(6−x)=4
i.e. 2x+30−5x=4
i.e. −3x=−26
i.e. x=
3
26
Therefore, x=
3
26
Substituting this value of x in equation 1, we get
y=6−
3
26
=
3
18−26
=−
3
8
Hence, the solution is x=
3
26
,y=−
3
8
.
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