3x-2y=5/2 And 1/3x +3y =-4/3
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Step-by-step explanation:
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=−
13
11
Substitute the value of y in (1)
⇒3x+2(−
13
11
)=5
⇒3x−
13
22
=5
⇒3x=
13
87
⇒x=
13
29
∴x=
13
29
,y=−
13
11
Hence, the pair of equations are consistent.
The correct answer is A.
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