SOLUTION: Give ordered pair (m,n) of numbers that satisfy the equation
4m-n=9
how do I figure this out...thanks for your help!
Algebra.Com
Question 156579: Give ordered pair (m,n) of numbers that satisfy the equation
4m-n=9
how do I figure this out...thanks for your help!
Found 2 solutions by Fombitz, Electrified_Levi:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Pick one.
Solve for the other.
Let m=0.
m=0, n=-9 is one solution to the equation.
.
.
.
You could also let n=0.
m=9/4, n=0 is another solution to the equation.
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
Give ordered pair (m,n) of numbers that satisfy the equation
how do I figure this out...thanks for your help!
.
(m,n) is the same as (x,y)
.
All you do is, pick any number for "m"(x)(usually small numbers), and put in equation
.
We will use "3" for "m",(replace "m" with "3" in equation, then solve for "n"(y))
.
= , multiplying we get,
.
To solve "n", we will move (-n) over to right to make it positive
.
= = Rearranging we get
.
Now all we need to do to get "n" is move "9" over to the left side
.
= = =
.
We found "n", "n" = 3
We used "3" for "m", "m" = 3
.
"m"(x) = 3
"n"(y) = 3
.
We can check by replacing "m" and "n" with our numbers, in the equation
.
= = = (True)
.
We found the ordered pair, (m,n), our ordered pair is (3,3)
.
Let's get another ordered pair
.
(you can replace "m" with any number) we will use "1" for "m", (replace "m" with "1" in equation)
.
= Multiplying we get
.
Moving (-n) to the right
.
= = , Rearranging it equals
.
We will move "9" over to the left to find "n"
.
= = =
.
"n" = (-5)
.
"m" = 1
"n" = (-5)
.
To check we will replace "m" and "n" in our equation
.
= = , double negative, which makes positive, = (True)
.
We found another ordered pair (m,n), our second ordered pair is (1, -5)
.
If you want you can also pick any number for "n", let's get another ordered pair, by picking any number for "n"
.
Let's use "7" for "n"(replace "n" with "7" in equation)
.
= = , since "m" is already positive, we will move (-7) to the right
.
= = , now all we need to do is divide each side by (4) to get "m"
.
= = =
.
"m" = 4
.
"m" = 4
"n" = 7
.
We check it by replacing the letters( "m" and "n") with the numbers in the equation
.
= = = = ( True)
.
We found a third ordered pair that satisfies the equation, , (m,n), our third ordered pair = (4,7)
.
The ordered pairs (3,3) , (1,-5), (4,7) satisfy the equation, ,can you find any more?
.
Hope I helped, Levi
RELATED QUESTIONS
give an ordered pair (m,n)of numbers that satisfy the equation... (answered by shree840)
give an ordered pair (m, n) of numbers that satisfy the following equation.
6m + n =... (answered by user_dude2008)
give an ordered pair (m, n) of numbers that satisty the follwing numbers.
5m - n =... (answered by rfer)
Give an ordered pair (u,v) of numbers that satisfy the following equation.
u+5v=9
(answered by Fombitz)
I have a problem where I am supposed to write each rational expression in lowest terms... (answered by Earlsdon)
algebra varibles give threepossible values of n numbers are 9,n 16,n 20,n how do i find... (answered by Alan3354)
I have a question:
Give an ordered pair (u,v) of numbers that satisfy the following... (answered by Alan3354)
Give an ordered pair (x,y) of numbers that satisfy the equation... (answered by stanbon)
Give an ordered pair (x,y) of numbers that satisfy the equation... (answered by Earlsdon)