## Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6x + 3y

Question

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner.

6x + 3y = 27 5x+ 2y + 21

Which variable should he choose so that he can use substitution to solve the system?
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.

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2 weeks 2021-11-21T12:27:23+00:00 2 Answers 0

The most efficient variable to solve for is y in the first equation because all of the terms have a common factor of 3.

Step-by-step explanation:

2. The most efficient way to solve this problem is isolating the y in the first equation because:

6x + 3y = 27

3y = 27 – 6x

y = 9 – 2x

Since all the numbers have a common factor of 3, it can be easily simplified/reduce.

If you used any other variable, you would have gotten a fraction.

Now that you found y, you can substitute it into the other equation to solve for x.