Solve the system of equations by using the substitution method.

3x - 5y = 17
y=x-5

x= 4, y= -1

Step-by-step explanation:

3x -5y= 17 (1)

y= x -5 (2)

Substitute (2) into (1):

3x -5(x -5)= 17

Expand:

3x -5x +25= 17

-2x= 17 -25

-2x= -8

x= -8 ÷(-2)

x= 4

Substitute x= 4 into (2):

y= 4 -5

y= -1

y= -1

x= 4

Step-by-step explanation:

Plug in for y

3x - 5(x-5) = 17     Use the distributive property

3x - 5x + 25 = 17      Combine like terms

-2x + 25 = 17        Subtract  25 from both sides

-2x = -8         Divide by -2 on both sides

x = 4          Plug in for x

y = (4) - 5       Solve for y

y = -1

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step-by-step explanation:

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