Question

Solve the system by graphing
-3x-y=-10
4x-4y=8

Answer 1

To solve the system by graphing, we need to graph both equations on the same coordinate plane and find the point where they intersect.

Let's solve the first equation -3x - y = -10 for y to get it in slope-intercept form:
-3x - y = -10
-y = 3x - 10
y = -3x + 10

Now, let's solve the second equation 4x - 4y = 8 for y:
-4y = -4x + 8
y = x - 2

Now we can graph both equations:

The first equation y = -3x + 10 has a y-intercept of 10 and a slope of -3.
Plot this point on the graph.

The second equation y = x - 2 has a y-intercept of -2 and a slope of 1.
Plot this point on the graph.

Now, draw the lines through these points. The point where the lines intersect is the solution to the system.

The graph of the system should look like this:
https://i.imgur.com/A4bbqhQ.png

From the graph, it appears that the lines intersect at the point (4, 2).

Therefore, the solution to the system is x = 4 and y = 2.