find the solution the the system of equations by using either graphing or substitution

y = 2x - 1 and y = x + 3

3 answers

We can solve the system by substitution.

First, we set the two equations equal to each other since they both equal y:

2x - 1 = x + 3

Next, we can solve for x:

2x - x = 3 + 1

x = 4

Now that we know x = 4, we can substitute it back into either of the original equations to solve for y. Let's use the first equation:

y = 2(4) - 1

y = 7

Therefore, the solution to the system of equations is (4, 7).
What will the graph look like for system of equations that has no solution the lines will be perpendicular lines will cross at one point. Both equations will form the same line or the lines will be parallel
The graph for a system of equations with no solution will consist of two lines that are parallel and never intersect. The lines will have the same slope but different y-intercepts.