Answer:
To solve a system of equations by graphing, you need to graph each equation on the same coordinate system and find the point where the two lines intersect. If the equations are in slope-intercept form, you can identify the slope and y-intercept and graph them. If one of the equations is in slope-intercept form, you can rewrite the other one in that form and graph them. If both equations are in other forms, you can find the x- and y-intercepts and graph them.
In this case, we have two equations:
y = x + 5
y = -2x - 1
To graph these equations, we can start by finding their intercepts:
y = x + 5
0 = x + 5
x = -5
So the intercept for y = x + 5 is (-5, 0). Similarly,
y = -2x - 1
0 = -2x - 1
x = -1/2
So the intercept for y = -2x - 1 is (-1/2, 0). Now we can plot these points on a coordinate plane and draw a line through each point. The point where these two lines intersect is our solution.
Therefore, the solution to this system of equations is (-3, 2).
Explanation: