Solve the following system of equations:
3x-5y=-11,
7x+2y=-12+3x.
Express your answer as an ordered pair (x,y).
3x - 5y = -11
4x + 2y = -12
Solve with elimination:
12x - 20y = -44
12x + 6y = -36
Subtract:
-26y = -8
\(y = \frac{4}{13}\)
Substitute:
\(3x - 5(\frac{4}{13}) = -11\)
\(\rightarrow 3x - \frac{20}{13} = -11\)
\(\rightarrow x = -\frac{41}{13}\)