Question

Here is a system of linear equations:

x + 3y = 7
6x - y = 5

Which would be more helpful for solving the system?

a. Adding the two equations
b. Subtracting one equation from another

Explain your reasoning.

Answer 1

Adding the two equations is more helpful for solving the system of linear equations.

Step-by-step explanation:

In order to solve the system of linear equations, it would be more helpful to add the two equations.

When adding the two equations, we can eliminate one variable and solve for the remaining variable. In this case, if we add the two equations, the y term will cancel out, and we will be left with:

x + 3y + 6x - y = 7 + 5

Simplifying this equation, we get:

7x + 2y = 12

Now we have a new equation with one variable, which can be easily solved.