Solve the system of equations by graphing.

3x+y=8

4x-y=6

3x + y = 8

4x - y = 6

7x = 14

7 7

x = 2

3 (2) + y = 8

6 + y = 8

-6 - 6

y = 2

(x, y) = (2, 2)

3x+y=8

Step 1. Isolate y.

y=8-3x

4x-y=6

Step 2. Isolate y again.

y=4x-6

Step 3. Graph y=8-3x

To do this, first graph 8 on the y axis. Then with a slope of - 3/1 graph the first line.

Step 4. Graph y=4x-6

To do this, graph - 6 on the y axis. Then with a slope of 4/1 graph the second line.

Step 5. Identify the coordinate where the two lines intersect.