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Solve the following system of equations:

3x-5y=-11,

7x+2y=-12+3x.

Express your answer as an ordered pair (x,y).

 Jul 12, 2022
 #1
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3x - 5y = -11

4x + 2y = -12 

 

Solve with elimination:

 

12x - 20y = -44

12x + 6y = -36

 

Subtract:

 

-26y = -8

\(y = \frac{4}{13}\)

 

Substitute:

\(3x - 5(\frac{4}{13}) = -11\)

\(\rightarrow 3x - \frac{20}{13} = -11\)

\(\rightarrow x = -\frac{41}{13}\)

 Jul 12, 2022

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