Question 177407: Give an ordered pair (x,y)of numbers that satisfy the equation
4x-y=4
Answer by Electrified_Levi(103)   (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
.
Give an ordered pair (x,y)of numbers that satisfy the equation
.
This is a pretty easy problem
.
For this problem, you just pick a number for "x", "x" can be any number
.
We will use "1", now replace "x" with "1" in the equation
.
=  =  , now you just solve for "y"
.
We will move "4" to the right
.
=  =  , to get "y" to be positive, we will multiply each side by (-1)
.
=  = 
.
.
.
You can check by replacing the letters with numbers in the equation
.
=  =  =  (True)
.
.
.
Ordered pairs are given as ( x,y ), our ordered pair ( or point ) is ( 1,0 )
.
This equation is a line, to find a line we need two points, we already have one point, let us find one more point
.
.
Name a number for "x", we will use (-1)
.
Replace the letter with the number, =  = 
.
Solve for "y", , we will move (-4) to the right side
.
=  = 
.
We will now multiply each side by (-1)
.
=  = 
.
.
.
Replace the letters with numbers in the original equation
.
=  =  = (True)
.
.
.
Ordered pairs are given as ( x,y ), our ordered pair, or point is (-1,-8)
.
To draw the equation on a graph, you draw a line through the two points (1,0) and (-1,-8)
.
Here is the graph
.
.
Two points that satisfy the equation are (1,0) and (-1,-8)
.
Hope I helped, Levi
|
|
|
