Solve the following system of linear equations by graphing graph on your own

Answer 1

To solve the system of linear equations by graphing, we first need to graph each equation on the same coordinate plane and find the point where the two lines intersect.

The system of equations is:

Equation 1: y = 2x - 3
Equation 2: y = -3x + 5

Now, we will graph these two equations on the same coordinate plane.

Let's start with Equation 1: y = 2x - 3
We plot the y-intercept at -3 and the slope of 2 to find another point on the line.

Next, we will graph Equation 2: y = -3x + 5
We plot the y-intercept at 5 and the slope of -3 to find another point on the line.

Now, we will look for the point where the two lines intersect. By visually examining the graph, we can see that the point of intersection is at (2, 1).

Therefore, the solution to the system of linear equations is x = 2 and y = 1.

I suggest you sketch the graph of these two equations on a piece of graph paper to get a better visualization of the solution.