X = y - 3

x + 3y = 13

What is the solution to the system of equations?

A)

(1, 4)

B)

(4, 1)

C)

(7, 4)

D)

(2.5, 5.5)

To solve this system of equations, start by plugging your equation for x wherever x appears in your second equation, giving you (y-3) + 3y=13. Now, combine like terms, (y-3) + 3y=13 = > 4y-3=13, solve for y by adding 3, 4y-3=12 = > 4y=16, divide by 4, 4y=16 = > y=4. Now that you have your y value, plug it into the equation for x to get the x value, x=y-3=4-3=1. This makes your solution (1,4), answer choice A