Linear Equations with Two Variables: Applying the formula

$x+y=8$

$x-y=6$

$x=7,y=1$

Solve the following system of equations:

$\begin{cases} x+y=8 \\ x=5-y \end{cases}$

There is no solution.

$3x-y=5$

$5x+2y=12$

$x=2,y=1$

$6x+y=12$

$3y+2x=20$

$x=1,y=6$

$6x+4y=18$

$-2x+3y=20$

$x=-1,y=6$

$-x+y=14$

$5x+2y=7$

$x=-3,y=11$

$6x-2y=24$

$x+5y=4$

$x=4,y=0$

$4x+3y=-11$

$3x-2y=-4$

$x=-2,y=-1$

$x-y=8$

$3x+2y=24$

$x=8,y=0$

$4x-8y=16$

$-x-2y=24$

$x=-10,y=-7$

$x-y=8$

$2x-2y=16$

Infinite solutions

$5y+3x=15$

$-2y-4x=-34$

$x=10,y=-3$