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Sarita has to solve the problem below for homework


2x+3y=25

4x+2y=22


Which variable should she choose to solve for so that she can use substitution to solve the system?


A. Sarita should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.


B. Sarita should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.


C. Sarita should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.


D. Sarita should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.

Respuesta :

absor201

Answer:

Option A is correct.

Step-by-step explanation:

2x+3y=25

4x+2y=22

Option A

2y = 22-4x

y = 11 -2x

Option B

2x = 25 -3y

x = 25/2 -3/2y

Option C

3y = 25 - 2x

y = 25/3 -2/3x

Option D

4x = 22 - 2y

x = 22/4 -2/4y

x = 11/2 -1/2y

In Option B,C and D we have fractions and for substitution the calculations will be complex.

But Option A has no fractions and solving by putting the value of y in equation 1 is easy.

So, Option A is correct.

johnnarin

Answer:

A

Sarita should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.

Step-by-step explanation:

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