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What is the solution of the system

 

3x + 3y = 10

-9x - 9y = -30

 Nov 6, 2017

Best Answer 

 #1
avatar+9466 
+1

3x + 3y  =  10          Multiply through by  -3 .

-9x - 9y  =  -30        This is the first equation.

 

-9x - 9y  =  -30        This is the second equation.

 

Notice that the equations are identical, so really we know only one equation.

 

There are two variables in that equation, so there are infinitely many solutions.

 Nov 6, 2017
 #1
avatar+9466 
+1
Best Answer

3x + 3y  =  10          Multiply through by  -3 .

-9x - 9y  =  -30        This is the first equation.

 

-9x - 9y  =  -30        This is the second equation.

 

Notice that the equations are identical, so really we know only one equation.

 

There are two variables in that equation, so there are infinitely many solutions.

hectictar Nov 6, 2017

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