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In Mathematics / High School | 2014-05-20

Solve the following system of equations using the substitution method:

1. \(5x - 6y = -9\)

2. \(3x + 4y = 25\)

Asked by Patty287

Answer (2)

\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.

Answered by Anonymous | 2024-06-10

To solve the system of equations, we used the substitution method. After isolating one variable and substituting into the other equation, we found the solution to be x = 3 and y = 4 . This solution satisfies both original equations.
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Answered by Anonymous | 2024-10-22

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