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PLZ HURRY WILL MARK BRAINLIEST

Jerry solved the system of equations.


x - 3y = 1

7x + 2y = 7


As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?


The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.

The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.

The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Respuesta :

The most efficient way is the 1st option

because all you have to do is add -3y on both sides to isolate x

If you used any other variables, you would have to use division which are extra steps

Answer:

Hence, the correct option is A) The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Consider the provided system of equation.

x - 3y = 1  and  7x + 2y = 7

Let first solve the second equation.

[tex]7x + 2y = 7[/tex]

Step 1:

Divide both the sides by 7.

[tex]x + \frac{2y}{7} = 1[/tex]

Step 2:

[tex]x = 1- \frac{2y}{7} [/tex]

It took 2 steps to isolate the the variable x.

Now again consider the system of equation.

But this time we will solve the first equation.

[tex]x - 3y = 1[/tex]

Step 1:

[tex]x = 1 + 3y[/tex]

it took only 1 step to isolate the variable as the variable x in the first equation has a coefficient of one.

Hence, the correct option is A) The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

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