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

Answer:

Step-by-step explanation:

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