How do I write a system of equations that is linear and graph? Thanks

y = x

y = -x

what do you mean?

To write a system of equations that is linear and can be graphed, you will need two or more linear equations. Each equation should have two variables (let's say x and y) and can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Linear equations represent straight lines.

To graph a linear equation, you'll need two points on the line. By choosing any two x-values, you can substitute them into the equation to find the corresponding y-values. Plot these two points on a graph and draw a straight line through them.

Let's take an example to illustrate the process:

Suppose we have the following system of linear equations:
1) y = 2x + 1
2) y = -3x + 4

For equation 1, we start by choosing two x-values, say x = 0 and x = 2:
For x = 0: y = 2(0) + 1 = 1, so we have the point (0, 1).
For x = 2: y = 2(2) + 1 = 5, so we have the point (2, 5).

For equation 2, we can choose x = -1 and x = 3:
For x = -1: y = -3(-1) + 4 = 7, so we have the point (-1, 7).
For x = 3: y = -3(3) + 4 = -5, so we have the point (3, -5).

Now, we plot these four points on a graph and draw a straight line through them. The intersection point of these lines will be the solution to the system of equations, if it exists.

In this case, the lines intersect at the point (1, 3), indicating that it is the solution to the system of equations.

Remember, the more equations you have in your system, the more lines you will need to graph. The solution, if it exists, will be the point(s) where all the lines intersect.