Question

An equation is shown below:

2x + y = 3

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

@undeadknight26

Answer 2

http://openstudy.com/study#/updates/52d89218e4b05ee054379135

Answer 3

>.<

Answer 4

i already looked at that, i don't understand it

Answer 5

:O ._.

Answer 6

Part A: To show "all" solutions, you could solve for y giving you y = -2x + 3
This essentially saying that, in 2D space (cartesian plane), any point with the coordinates (x, -2x+3) solves that solution.

We can show this solution as with a graph. In this case, all the points to your solution form a line with a y-intercept of 3 (implies x= 0) and a slope of -2.

B. Choose any three points on that line and you get three solutions! Or just plug in 3 different x values and solve for y. Ex:

Let x = 4
y = -2(4) + 3 = -8+3 = -5
(4,-5)

C. A system of equations is "inconsistent" if no solutions exist. Graphically, this means that two lines are not intersecting. Can you draw a line that does not intersect that graph of our above equatioN?

Answer 7

So part A for that gives the answer, so i gotta do B and C now?
@undeadknight26

Answer 8

hello?

Answer 9

Nope thats all three