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Verified Answer :

3x + 2y = 4
2x - y = 5 times second equation by 2
4x-2y=10
adding equation 1 and new equation
7x=14
x=2
put in eq 1
3(2)+2y=4

6+2y=4
2y=-2
y=-1
option b is right 

we have

\(3x+2y=4\) ----> equation A

\(2x-y=5\) ----> equation B

Multiply the equation B by \(2\)

\(2(2x-y)=2*5\)

\(4x-2y=10\) ------> equation C

Adds equation A and equation C

\(3x+2y=4 \\4x-2y=10\\---------- \\4x+3x=4+10 \\7x=14 \\x=2\)

find the value of y

\(2*2-y=5\)

\(y=4-5=-1\)

the solution is the point \((2,-1)\)

therefore

the answer is the option B

has one solution