Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

Y=3x-2 put that value in the other equation

3x-2 = -2x + 3
Simplify
5x = 5
x = 1
Now take that value of x and put it in the other equation

y = -2(1) + 3
y = -2 + 3
y = 1 and x = 1

1 = 3(1) - 2 and 1 = -2(1) + 3
1 = 3-2 and 1 = -2 + 3
1 = 1 and 1 = 1