Question

Consider the linear equation x - y = -2. Will you choose to fix values for x or y? Explain. Are there specific numbers that would make your computational work easier? Explain. Find five solutions to the linear equation x - y = -2 and plot the solutions as points.

Answer 1

In the linear equation x - y = -2, we can choose to fix the value of y and then solve for x. Five solutions to the equation are found by substituting different values for y and solving for x. These solutions can be plotted as points on a graph.

Step-by-step explanation:

In the linear equation x - y = -2, we have two variables, x and y. To solve this equation, we can choose to fix values for either x or y. Let's choose to fix the value of y and then solve for x. This means we'll set y equal to a specific number and solve for x.

Now, let's find five solutions to the equation by substituting different values for y and solving for x:

• When y = 0, x = -2
• When y = 1, x = -1
• When y = 2, x = 0
• When y = 3, x = 1
• When y = 4, x = 2

These solutions can be plotted as points on a graph, with x-values on the x-axis and y-values on the y-axis.