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23 December, 05:24

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)

+2
Answers (1)
  1. 23 December, 05:51
    0
    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
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