Solve the system of equations by using the substitution method.
3x-5y=14
y=x-4

x = 3

y = -1

(3, -1)

Step-by-step explanation:

Substitute the y variable in 3x-5y=14 with the expression x-4

3x - 5y = 14

3x - 5(x - 4) = 14   Use the distributive property

3x - (5x - 20) = 14   Subtract the binomial

3x - 5x + 20 = 14     Collect like terms

20 - 2x = 14        Isolate "x" now

-2x = 14 - 20      Subtract 20 from both sides

-2x = -6       Divide both sides by -2

x = 3       Solved for x

Substitute x using 3 in one of the equations.

y = x - 4

y = 3 - 4       Subtract

y = -1      Solved for y

The solution as an ordered pair (x, y) is (3, -1).

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