Question

What is the solution to the system of equations graphed below? y = x + 2 y = 3x - 2

Answer 1

y = x + 2
y = 3x - 2
so
x + 2 = 3x - 2
2x = 4
x = 2

y = 2+2+ 4

answer
(2,4) is the solution

Answer 2

(2,4) is the solution

Explanation:

y = x + 2

y = 3x - 2

Use the 2 equations and solve for x and y

x+2= 3x-2

subtract x on both sides

2= 2x-2

add 2 on both sides

4=2x

divide by 2 on both sides

x= 2

Now find out y

y=x+2, plug in 2 for x

y=2+2= 4

solution is (2,4)