solve the lenier equation and find the value of x
x=3/2=2x
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WER
Given equations are
x+y=3
2x+5y=12
Since, the system has unique solution at x=x
1
and y=y
1
That means the lines intersect at only one point (x
1
,y
1
)
By putting x=x
1
and y=y
1
in equations, we get
x
1
+y
1
=3 ....(1)
2x
1
+5y
1
=12 ....(2)
From equation (1), we have
y
1
=3−x
1
Putting the value of y
1
in equation (2),
⇒2x
1
+5(3−x
1
)=12
⇒2x
1
+15−5x
1
=12
⇒2x
1
−5x
1
=12−15
⇒−3x
1
=−3
⇒x
1
=
−3
−3
⇒x
1
=1
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