Solve the system by graphing. Check your solution
-2x-y=-6
2x-y=-2
To graph the system, we can solve each equation for y in terms of x and then plot the resulting lines.
For the first equation -2x - y = -6, we can solve for y as follows:
-2x - y = -6
-y = 2x - 6
y = -2x + 6
For the second equation 2x - y = -2, we can solve for y as follows:
2x - y = -2
-y = -2x - 2
y = 2x + 2
Now we can plot the lines y = -2x + 6 and y = 2x + 2 on a graph to see where they intersect:
Graph:
https://www.desmos.com/calculator/g5eckw3fkv
The lines intersect at the point (2, 6).
To check if this solution is correct, we can substitute x = 2 and y = 6 into both original equations:
For the first equation:
-2(2) - 6 = -6
-4 - 6 = -6
-10 = -6 (This is not true)
For the second equation:
2(2) - 6 = -2
4 - 6 = -2
-2 = -2 (This is true)
Since the solution does not satisfy both equations, it is not a valid solution to the system. Hence, there is no solution to the system by graphing.