Question

3x + 2y = 4 2x - y = 5 This system of equations

Answer 1

A)has no solution. B) has one solution C) is coincident

Answer 2

3x + 2y = 4
2x - y = 5 --> times 2 --> 4x - 2y = 10

so you now have
3x + 2y = 4
4x - 2y = 10
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7x + 0y = 14 (I added them to each other)

7x=14 x=2


Solve for y.
2x - y = 5 plug in 2 for x
2(2)- y = 5
4-y=5
4-y-4=5-4
-y=1
y=-1
check it using the first equation since the second we already know,
3(2) + 2(-1) = 4
6-2=4
4=4

So
x=2 y=-1
OR (2,-1)