Question

An equation is shown below:
5x - y = 8

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)

Part B: Determine three different solutions for this equation. (4 points)

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

@campbell_st I need your help again :D

Answer 2

I'd graph the line so show all the solutions...

the line is made up of all the points that follow the rule

Answer 3

so to get 3 different solutions

substitute x -0, x = 1 and x = 2

and find the corresponding y values

for an inconsistent solution, you could use a multiply of the line

or a parallel line

Answer 4

@campbell_st I'm confused can you show me how?

Answer 5

ok... so if you rewrite the equation you get

y = 5x - 8

this is a line you can graph on the number plane

let x = 0 y = 5 *0 - 8 so y = -8 the point (0, -8) is on the line
x = 1 y = 5*1 - 8 so y = -3 the point (1, -3) is on the line

you can do the same for x = 2 to find a point

so for the inconsistent line you might choose a line that is parallel
or a line that is a multiple

5x - y = 8 multiply every term by 2 what do you get.... then go and graph it

Answer 6

ok thanks