Given the following system of equations:
y = -3x + 9
y = -x - 5
For us to be able to graph each of the equations, let's first determine the coordinates of its x and y-intercepts.
We get,
For y = -3x + 9,
At x = 0,
y = -3x + 9
y = -3(0) + 9
y = 9
Point 1 = 0, 9
At y = 0
y = -3x + 9
0 = -3x + 9
3x = 9
3x/3 = 9/3
x = 3
Point 2 = 3, 0
For y = -x - 5,
At x = 0,
y = -x - 5
y = 0 - 5
y = -5
Point 1 = 0, -5
At y = 0,
y = -x - 5
0 = -x - 5
x = -5
Point 2 = -5, 0
Let's now plot the two equations:
From the graph, it shows that the graph of the two equations intersects at 7, -12.
This point of intersection is also the solution for the system of equations.
Therefore, the answer is 7, -12.