Solve by Graphing 2x+y=2 3x+y=1

$2 x + y = 2$ $3 x + y = 1$

Step 1

Subtract $2 x$ from both sides of the equation.

$y = 2 - 2 x$

$3 x + y = 1$

Step 2

Subtract $3 x$ from both sides of the equation.

$y = 1 - 3 x$

$y = 2 - 2 x$

Step 3

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(- 1, 4)$

Step 4