Find a solution to the system of equations by graphing Y equals 2X minus one and Y equals X +3

Answer 1

To find the solution to the system of equations by graphing, we will plot the graphs of both equations on the same coordinate plane and find the point where they intersect.

First, let's plot the graph of y = 2x - 1:

For this equation, we can choose any values for x and find the corresponding values for y. Let's choose three values for x: -1, 0, and 1.

When x = -1, y = 2(-1) - 1 = -2 - 1 = -3. So we have the point (-1, -3).
When x = 0, y = 2(0) - 1 = 0 - 1 = -1. So we have the point (0, -1).
When x = 1, y = 2(1) - 1 = 2 - 1 = 1. So we have the point (1, 1).

Now we can plot these points and draw the line passing through them:

The graph of y = 2x - 1 will look like this:

Now let's plot the graph of y = x + 3:

Following the same steps as above, we can choose three values for x: -2, 0, and 2.

When x = -2, y = -2 + 3 = 1. So we have the point (-2, 1).
When x = 0, y = 0 + 3 = 3. So we have the point (0, 3).
When x = 2, y = 2 + 3 = 5. So we have the point (2, 5).

Now we can plot these points and draw the line passing through them:

The graph of y = x + 3 will look like this:

To find the solution to the system of equations, we need to find the point of intersection of the two lines. From the graph, we can see that the lines intersect at the point (2, 5).

Therefore, the solution to the system of equations y = 2x - 1 and y = x + 3 is x = 2 and y = 5.