Examine this system of linear equations. y - 3x = - 2, y = 4 Which is a solution of the system of equations? (0, 4) (2, 2) (2, 4) (4, 2)

C) (2,4)

Step-by-step explanation:

person before me has the explanation

Ok so for this you have to substitute. y=4 so you put a 4 where the y is. This becomes

4 - 3x = - 2 We can already rule out (2,2) and (4,2) Why? Because the y is not a 4. So it's gonna be either (0,4) or (2,4). Now, we have to find x. We have to isolate it. You do this by subtracting 4 from both sides.

4 - 4 - 3x = - 2 - 4 Now Simplify

-3x = - 6 Why - 6? Because you can't subtract a positive from a negative so it becomes - 2 + - 4. Since they are both negatives, you just add them together, then put the negative sign.

Now divide - 3 from both sides. Which becomes

x = 2