Answer:
solution to the system is (x, y) = (3, 4).
Explanation:
To solve the system of equations by graphing, you can plot the lines represented by the given equations and find the point of intersection. This point of intersection represents the solution to the system.
1. Line 1: f(x) = (1/3)x + 3
2. Line 2: g(x) = (-1/3)x + 1
Now, let's graph these lines:
Line 1 (f(x)):
- The slope (m1) is 1/3.
- The y-intercept (b1) is 3.
Plot the point (0, 3), and use the slope to find another point. For example, you can go up 1 unit and to the right 3 units (since the slope is 1/3). So, another point on Line 1 is (3, 4).
Line 2 (g(x)):
- The slope (m2) is -1/3.
- The y-intercept (b2) is 1.
Plot the point (0, 1), and use the slope to find another point. For example, you can go down 1 unit and to the right 3 units (since the slope is -1/3). So, another point on Line 2 is (3, 0).
Now, on your graph, you'll see that Line 1 and Line 2 intersect at the point (3, 4). This is the solution to the system of equations.
So, the solution to the system is (x, y) = (3, 4).
solved by MG