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13. Solve the system by substitution : x = 2 - 3y and 3x + 9y = 6

 Oct 14, 2014

Best Answer 

 #1
avatar+23254 
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x = 2 - 3y

3x + 9y  =  6  --->  3(2 - 3y) + 9y  =  6

                                 6 - 9y + 9y  =  6

                                        6 - 0 = 6

                                              6  =  6   

There is no single answer; there are an infinite number of values that work.

If you rearranged the first equation to get  x + 3y  =  2  and then multiply this equation by 3, you would get     3x + 9y  =  6  which is exactly the same equation as the second equation. So any combination of numbers for x and y that solve the first equation also solves the second, and there are an infinite number of possible answers.     

 Oct 14, 2014
 #1
avatar+23254 
+5
Best Answer

x = 2 - 3y

3x + 9y  =  6  --->  3(2 - 3y) + 9y  =  6

                                 6 - 9y + 9y  =  6

                                        6 - 0 = 6

                                              6  =  6   

There is no single answer; there are an infinite number of values that work.

If you rearranged the first equation to get  x + 3y  =  2  and then multiply this equation by 3, you would get     3x + 9y  =  6  which is exactly the same equation as the second equation. So any combination of numbers for x and y that solve the first equation also solves the second, and there are an infinite number of possible answers.     

geno3141 Oct 14, 2014

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