Question

4. Find a solution to the following system of equations.

-2x + 5y = 8
2x + 2y = 3
(0, 3)
(2, 1)
(1,2)
(-2, 1)

Answer 1

Explanation:

`\begin{bmatrix}-2x+5y=8\\ 2x+2y=3\end{bmatrix}\\\\2x+2y=3\\+\\\underline{-2x+5y=8}\\7y=11\\\\\begin{bmatrix}-2x+5y=8\\ 7y=11\end{bmatrix}\\\\Solve\:7y=11\:for\:y\: \:, y= (11)/(7) \\\\\mathrm{For\:}-2x+5y=8\mathrm{\:plug\:in\:}y=(11)/(7)\\\\Solve\:-2x+5 (11)/(7)=8\:for\:x\:,x= -(1)/(14)\\\\x=-(1)/(14),\:y=(11)/(7)`