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In Mathematics / High School | 2014-05-19

How do you solve the following system of equations by substitution?

1. \(11x - 13y = 89\)
2. \(-11x + 13y = 107\)

Asked by Valery428

Answer (2)

\left\{\begin{array}{ccc}11x-13y=89&/+13y\\-11x+13y=107&/\cdot(-1)\end{array}\right\\\\\left\{\begin{array}{ccc}11x=13y+89\\11x-13y=-107\end{array}\right\\\\substitute:\\\\(13y+89)-13y=107\\13y-13y+89=107\\89=107-FLASE\\\\Answer:No\ solution\ (x;\ y\in\O)

Answered by Anonymous | 2024-06-10

To solve the system of equations by substitution, first isolate one variable and substitute it into the other equation. After simplifying, we find that the equations do not result in a consistent solution, indicating that there is no solution. This means that the two lines represented by the equations are parallel and do not intersect.
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Answered by Anonymous | 2024-12-26

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