10 solve the pair of linear equation by elimination method
3x-2y-5
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Answer:
Let 3x+2y=5 ......(1)
and 2x−3y=7 ......(2)
Multiply equation (1) by 2 and equation (2) by 3
Therefore, 6x+4y=10 ....(3)
and 6x−9y=21 ....(4)
Subtract equations (3) and (4), we get
⇒13y=−11
⇒y=− 11/13
Substitute the value of y in (1)
⇒3x+2(− 11/13)=5
⇒3x− 22/13=5
⇒3x= 87/13
⇒x= 29/13
∴x= 29/13
,y=−11 /13
Hence, the pair of equations are consistent.
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