Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x 3 y = 27. 5 x 2 y = 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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24-01-2022
Mathematics

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Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x 3 y = 27. 5 x 2 y = 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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astha8579 astha8579 · Answer 1 · 2022-02-03T11:54:53+01:00

You can use the method of substitution to see what step Jon should use.

The method that Jon should do is

Option A: 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.

How to find the solution to the given system of equations?

We can use substitution where we take out expression for a variable in terms of other variable and then substitute that expression in place of the that variable for which the expression was evaluated. Then the result is substituted back in this expression to get the rest of the values.

The given system of equations is

[tex]6x + 3y = 27.5\\5x + 2y = 21[/tex]

We can see that in the first equation, we can take 3 common out and then divide by 3 on both the sides:

[tex]6x + 3y = 27.5\\3(2x +y) = 27.5\\3x + y = 9.167[/tex]

Thus, coefficient of y got eliminated.

Thus, we see that this is the method which Jon should use(we cannot take integers common out from second equation but yes, we can take other non integers common out to solve the equation).

Thus,

The method that Jon should do is

Option A: 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.

Learn more about system of linear equations here:

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