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x-3y=1 and 7x+2y=7 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?

User ADvo
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2 Answers

6 votes

Answer:

Jerry solved the system of equations.

x minus 3 y = 1. 7 x + 2 y = 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.

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User Mkell
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5 votes

Answer:

I would solve for x in the first equation. X in the first equation has a coefficient of 1, unlike y in the second equation which has a coefficient of 2. I do not have to divide to solve for my variable.

Explanation:

I would solve for x in the first equation. X in the first equation has a coefficient of 1, unlike y in the second equation which has a coefficient of 2.

x-3y =1

Add 3y to each side

x = 1+3y

Then substitute this into the second equation.


Max would have to subtract 7x from each side and then divide by 2

7x+2y =7

2y = -7x+7

y = -7x/2 + 7/2


This makes the math complicated when it is substituted into the first equation because we are multiplying by 3. We will have fractions.

User ShinyJos
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