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X + 4y = 7 4x - 3y = 9 equivalent equation and solution

1 Answer

1 vote

Answer:

x = 3, y = 1

Explanation:

Given:


\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}

Solve:


\mathrm{Substitute\:}x=7-4y


\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}


\mathrm{Simplify}


\begin{bmatrix}28-19y=9\end{bmatrix}


\mathrm{For\:}x=7-4y


\mathrm{Substitute\:}y=1


x=7-4\cdot \:1


\mathrm{Simplify}


x=3


\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}


x=3,y=1

Check Answer:

3 + 4(1)

7 (1) = 7

True

4(3) - 3(1)

12 - 3 = 9

True

Hence, x = 3 , y =1

~lenvy~

User Dnp
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