Math  /  Algebra

Questionx5y=15x+3y=11\begin{array}{l}x-5 y=15 \\ -x+3 y=-11\end{array}

Studdy Solution
Verify the solution by substituting x=5x = 5 and y=2y = -2 back into the original equations:
For the first equation:
55(2)=155+10=1515=15True5 - 5(-2) = 15 \quad \Rightarrow \quad 5 + 10 = 15 \quad \Rightarrow \quad 15 = 15 \quad \text{True}
For the second equation:
5+3(2)=1156=1111=11True-5 + 3(-2) = -11 \quad \Rightarrow \quad -5 - 6 = -11 \quad \Rightarrow \quad -11 = -11 \quad \text{True}
Both equations are satisfied.
The solution to the system is x=5 x = 5 and y=2 y = -2 .

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