Question

3x + 2y = 4

2x - y = 5
This system of equations
A)has no solution.
B)has one solution.
C)is coincident.

Answer 1

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

Answer 2

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