What is the solution to the system of equations graphed below?

Use the substitution method to solve the equations:

Since y = x + 3 and y = 3x + 1, we know that x + 3  = 3x + 1

Set those values equal to each other:

3x + 1 = x + 3

Solve:

2x + 1 = 3

2x = 2

x = 1

Plug the x back into either one of the given equations to get y:

y = 1 + 3 = 4

y = 3(1) + 1 = 4

So your coordinate will be (1,4)

Explanation:

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