SOLUTION: Write a system of linear equations in two variables having {(-2, 7)} as a solution set. (More than one system is possible.) Make sure that your system has two equations with two va

Algebra ->  Linear-equations -> SOLUTION: Write a system of linear equations in two variables having {(-2, 7)} as a solution set. (More than one system is possible.) Make sure that your system has two equations with two va      Log On


   



Question 210564: Write a system of linear equations in two variables having {(-2, 7)} as a solution set. (More than one system is possible.) Make sure that your system has two equations with two variables!

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write a system of linear equations in two variables having {(-2, 7)} as a solution set. (More than one system is possible.) Make sure that your system has two equations with two variables!
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Since:
2*-2 + 3*7 = 17
and
-2 - 2*7 = -16
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the system:
2x + 3y = 17
x - 2y = -16
---
will have solution (-2,7)
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Cheers,
Stan H.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Write a system of linear equations in two variables having %22%28x%2Cy%29%22=%22%28-2%2C7%29%22 as a solution set. (More than one system is possible.) Make sure that your system has two equations with two variables!

Make up any 2 numbers for the coefficients of x and y for the first
equation, say -3 and 5, so write -3x%2B5y=%22%22

Make up any 2 numbers for the coefficients of x and y in the second
equation, say 7 and -2, so write 7x-2y=%22%22

So we have the system with left sides only:

system%28-3x%2B5y=%22%22%2C7x-2y=%22%22%29

Now we just substitute -2 for x and 7 for y
in each:

-3x%2B5y=-3%28-2%29%2B5%287%29=6%2B35=41

So the first equation will be -3x%2B5y=41 

7x-2y=7%28-2%29-2%287%29=-14-14=-28

So the second equation will be 7x-2y=-28 

So the final system is:

system%28-3x%2B5y=41%2C7x-2y=-28%29

Edwin