Solve the following system of equations. Write your answer in the form of an ordered pair $(x, y)$. $$ \begin{cases} 10x + 10y = -300 \\ 30x - 30y = -360 \end{cases} $$ Enter your answer as an ordered pair $(x, y)$.
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Step 1
Divide equation (1) by 10: $x + y = -30$ (Equation 3) Divide equation (2) by 30: $x - y = -12$ (Equation 4) Step 3: Solve the system using the elimination method. Add Equation 3 and Equation 4: $(x + y) + (x - y) = -30 + (-12)$ $2x = -42$ $x = \frac{-42}{2}$ $x Show more…
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