# How do you solve the system of equations y=-x+1 and y=2x+4 graphically?

May 4, 2018

X = -1, Y = 2

#### Explanation:

Here's how you solve it graphically:

Plug-in each equation into your calculator by using the Y= function. Once you're done typing 1 equation, hit enter to enter ${Y}_{2}$, your second line.

You should have:

graph{-x +1 [-16.02, 16.02, -8.01, 8.01]}
graph{2x+4 [-16.02, 16.02, -8.01, 8.01]}

intersecting / overlapping each other once you hit the GRAPH function. To figure out what x and y are, hit 2ND TRACE. Your options will be:

1: value
2: zero
3: minimum
4: maximum
5: intersect
6: dy/dx
7: f(x)dx

Select 5: intersect. Then, hit ENTER three times.