Answer: (-18,11)
Step-by-step explanation:
Find the x-intercept of the first equation by substituting
and solving for "x":
![y = -x - 7\\\\x=-7](https://tex.z-dn.net/?f=y%20%3D%20-x%20-%207%5C%5C%5C%5Cx%3D-7)
Find the y-intercept of the first equation by substituting
and solving for "y":
![y = -x - 7\\\\y=0-7+\\\\y=-7](https://tex.z-dn.net/?f=y%20%3D%20-x%20-%207%5C%5C%5C%5Cy%3D0-7%2B%5C%5C%5C%5Cy%3D-7)
Graph the line passing through the points (-7,0) and (0,-7)
Find the x-intercept of the second equation by substituting
and solving for "x":
![x + 2y = 4\\\\x + 2(0) = 4\\\\x=4](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%204%5C%5C%5C%5Cx%20%2B%202%280%29%20%3D%204%5C%5C%5C%5Cx%3D4)
Find the y-intercept of the second equation by substituting
and solving for "y":
![x + 2y = 4\\\\0 + 2y = 4\\\\y=2](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%204%5C%5C%5C%5C0%20%2B%202y%20%3D%204%5C%5C%5C%5Cy%3D2)
Graph the line passing through the points (4,0) and (0,2)
You can observe in the graph that the point of intersection of the lines is:
(-18,11)
This is the solution of the system of equations.