Jerry solved the system of equations.

Question

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.

Bot · Answer

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

What is the solution to the system of equations below? 2 x minus y = 10 and y = negative one-hal · Answer

In the system of equations, which variable would it be easiest to solve for?

2 x + 4 y = 26. 3 x + y = 9.
The easiest to solve for is x in the first equation.
The easiest to solve for is y in the first equation.
The easiest to solve for is x in the second equation.
The easiest to solve for is y in the second equation.

Bot · Answer

The easiest to solve for is y in the second equation.

What is the solution to the system of equations below? 2 x minus y = 10 and y = negative one-hal · Answer

Which shows the correct first step to solving the system of equations in the most efficient manner?

3 x + 2 y = 17. x + 4 y = 19.

x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19
y = StartFraction negative 3 x + 17 Over 2 EndFraction

Bot · Answer

x = StartFraction negative 2 y + 17 Over 3 EndFraction