Y=-3x + 4 y = 3x - 2
What solution does this system have? How do you
know? Justify(explain).

Use substitution
Set them equal to each other
-3x + 4 = 3x - 2
Solve the equation
4 = 6x - 2
6x = 6, x = 1
Plug in 1 for any equation to find y
Y = -3(1) + 4
Y = -3 + 4, y = 1
Solution: x = 1, y = 1

1. First find the least common denominator (LCD) of 4 & 2
2. The LCD is 8 because 4 times 2 equals 8
3. Multiply 3/4 by 2 and multiply 3/2 by 4
- So far you should have 6/8x + 12/8x = 9/4
5. Add 6/8x + 12/8x which equals 18/8x = 9/4
6. Since both sides are fractions the easier way to do get rid of it is by multiplying the 8 in both sides.
7. It should be looking something like this:
18x = 72/4
18x = 18
x= 1

I attached me solving the problem if its better for you. Hope it helps.