solve the system of equations graphed below

Question

y= -2x + 5
y= x - 4

Answer 1

To solve the system of equations, we need to find the point where the two lines intersect. This point represents the solution to the system.

First, we can set the two equations equal to each other:

-2x + 5 = x - 4

Now, we can solve for x:

-2x - x = -4 - 5
-3x = -9
x = 3

Now that we have found x = 3, we can substitute this value back into either of the equations to solve for y. Let's use the second equation:

y = 3 - 4
y = -1

So the solution to the system of equations is x = 3 and y = -1. This point is where the two lines intersect on the graph.