3x + y = 3
x + y = 2

solve the system of equations.

a) x = 1/2, y = 3

b) x = 3, y = 1/2

c) x = 1/2, y = 3/2

d) x = 3/2, y = 1/2

If you would like to solve the system of equations, you can do this using the following steps:

3x + y = 3
x + y = 2 ... y = 2 - x

3x + y = 3
3x + 2 - x = 3
2x = 3 - 2
2x = 1
x = 1/2

y = 2 - x = 2 - 1/2 = 1 1/2 = 3/2

(x, y) = (1/2, 1 1/2) = (1/2, 3/2)

The correct result would be C) x = 1/2, y = 3/2.

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