How to solve the system of equations 2x-y=-1 and 3x+2y=-5 by graphing?

1 Answer
Jul 24, 2018

From the graphs, we get point of intersection at x=-1 and y=-1.enter image source here

Explanation:

The intercept of two linear graphs is the solution for x and y.

Lets take the first equation:
2x-y=-1

Find the x intercept and y intercept and plot the graph.

x-intercept, y=0
2x-y=-1

2x-0=-1

2x=-1

x=-1/2 ------> x-Intercept

y-intercept, x=0

2x-y=-1

2(0)-y=-1

-y=-1

y=1------>y-Intercept

Lets take the second equation:
3x+2y=-5

Find the x intercept and y intercept and plot the graph.

x-intercept, y=0
3x+2y=-5

3x+2(0)=-5

3x=-5

x=-5/3 -----> x-Intercept

y-intercept, x=0
3x+2y=-5

3(0)+2y=-5

2y=-5

y=-5/2------> y-Intercept

**Now plot the two linear graphs and from the graph, the intersection of these tow linear graphs are the value of x and y satisfying both the equations. Graphs are shown below:

From the graphs, we get point of intersection at x=-1 and y=-1.