Question

The first equation of the system is multiplied by 2. By what number would you multiply the second

equation to eliminate the y variable by adding?
4x – 3y = 6
6x + 2y = 10

Answer 1

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Explanation:

Given the equations

4x – 3y = 6 → (1)

6x + 2y = 10 → (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12 → (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30 → (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

--------------------

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.