Question

In order to solve the system of equations

{x-3y=2
{2x+y=11
Using the elimination method, which of the following steps could be used?

Answer 1

Multiply the second equation by 3 and then add result to the first equation

Explanation:

Given the equations :

x-3y=2

{2x+y=11

To solve by elimination :

Multiply one of either equations by a number to give a result such that adding the result to the other equation in the system leads to the removal of one of the unknown values.

By Multiplying the second equation by 3 and then add result to the first equation

Second equation becomes :

6x + 3y = 33

Adding the result to the first equation :

x - 3y = 2

6x + 3y = 33

___________

7x = 35

_________

Here, the y variable has been eliminated