Question

Solve each system of equations below by graphing

3. y = -2
x + y = 5
-7 6 5 4 3 -2 -1
7
6-
5-
4-
32
3-
2-
1
123
1 2 3 4 5
-2-
-3-
-4-
-5-
-6--
-7-
67
2

Answer 1

Explanation:

To solve the system of equations y = -2 and x + y = 5 by graphing, you need to plot both lines on a graph and find the point where they intersect. The point of intersection is the solution to the system. Let's graph both equations:

For the equation y = -2, this is a horizontal line parallel to the x-axis at y = -2.

For the equation x + y = 5, rearrange it to solve for y: y = 5 - x. This is a linear equation with a slope of -1 and a y-intercept of 5.

Now, let's graph both lines on the same set of axes:

7 | .

6 | .

5 | .

4 | .

3 | .

2 | .

1 | .

0 | . .

+-----------------------

1 2 3 4 5 6 7

The line for y = -2 is the horizontal line passing through y = -2, and the line for x + y = 5 is the slanted line.

The point where the two lines intersect is (3, -2). So, the solution to the system of equations is x = 3 and y = -2.