Question

An equation is shown below:

7x + y = 5

Part A: Explain how you will show all of the solutions that satisfy this equation.

Part B: Determine three different solutions for this equation.

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.

Answer 1

Regarding Part A: Why not solve the given equation for y? Then, for any x, you'll be able to calculate the corresponding y value.

You could write this result into the general point: (x, y), where y is the result of your having solved the given equation for y.

Answer 2

Well Part A..Isn't the equation 7x+y=5 turn into y=-7x+5?

Answer 3

Yes. You have "solved" 7x+y=5 for y, obtaining the equation in slope-intercept
form y = -7x + 5.

thus, every point on the graph of this line must have the form (x, -7x + 5).

Answer 4

Ok. Now for part B. I dont get it. Should I try different, random, numbers to fit in the equation?

Answer 5

Now pick any 3 values for x and calculate the corresponding y-value. Write out these three points in the form (x, -7x + 5). This will take care of Part B.

Unfortunately, I need to get off the 'Net now. In regard to part C, I strongly suggest that you inform yourself regarding what constitutes an "inconsistent system of linear equations" before you attempt to answer this question. Good luck!

Answer 6

Thank you so much for your help! Have a great day! :)