Question

3x+2y=8 and x+5y=7 how do I get the answer​

Answer 1

Answer:

$x=2$

$y=1$

Step-by-step explanation:

$\begin{bmatrix}3x+2y=8\\ x+5y=7\end{bmatrix}$

$3x+2y=8$

$3x+2y-2y=8-2y$

$3x=8-2y$

$\frac{3x}{3}=\frac{8}{3}-\frac{2y}{3}$

$x=\frac{8-2y}{3}$

$\begin{bmatrix}\frac{8-2y}{3}+5y=7\end{bmatrix}$

$\frac{8-2y}{3}+5y=7$

$\frac{8-2y}{3}\cdot \:3+5y\cdot \:3=7\cdot \:3$

$8+13y=21$

$8+13y-8=21-8$

$13y=13$

$\frac{13y}{13}=\frac{13}{13}$

$y=1$

$x=\frac{8-2\cdot \:1}{3}$

$x=2$

$y=1$