Use the substitution method to solve this system of equations -3x + y = 11                                                                                                    5x - 2y = -16 Enter answer as an ordered pair using ( )

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Solve the system by using substitution.

`i. )-3x + y = 11`

`ii.) 5x - 2y = -16`

First solve equation i. for y.

`-3x + y = 11`

`y = 3x + 11`

Now substitute the value of y, (3x + 11), for y in the second equation.

`5x - 2y = -16`

`5x - 2(3x + 11) = -16` Solve for x.

`5x - 6x - 22 = -16`

`-x -22 = -16`

`-x = 6` or `x = -6`

Now substitute the value of x, -6, into either of the original equations to find y.

`-3x + y = 11`

` ` `-3(-6) + y = 11`

`18 + y = 11`

`y = -7`

The solution to the system using substitution is (-6, -7).

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