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In Mathematics / High School | 2014-05-15

Solve the system of equations by substitution:

1. [tex]y = -3x + 5[/tex]

2. [tex]5x - 4y = -3[/tex]

Asked by mechellebixler

Answer (2)

\left\{\begin{array}{ccc}y=-3x+5\\5x-4y=-3\end{array}\right\\\\\\substitute\\\\5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x-20=-3\\17x=-3+20\\17x=17\ \ \ \ /:17\\x=1\\\\y=-3\cdot1+5=-3+5=2\\\\ \left\{\begin{array}{ccc}x=1\\y=2\end{array}\right

Answered by Anonymous | 2024-06-10

The solution to the system of equations is (x, y) = (1, 2). This was found by substituting y from the first equation into the second equation and solving for x, then determining y. Both values were verified by substitution into the original equations.
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Answered by Anonymous | 2024-10-28

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