Question

2x + 3y = 6

5x + 2y = 4

Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system of equations?

19x = 24
19y = 22
11y = 22

Answer 1

*eq1 by 2 and eq2 by -3
4x+6y=12
-15x-6y=-12
-11x=0
x=0
so
3y=6
y=2
so option 3 is correct
11y=22

Answer 2

Option c :11y = 22

Explanation:

Given :

`2x+3y = 6` --(a)

`5x+2y = 4` ---(b)

Solution :

First multiply equation (a) by 5 then it become :

`10x+15y = 30` --(c)

Then multiply equation (b) by 2 then it becomes :

`10x+4y = 8` --(d)

Now subtract (d) from (c)

⇒
`10x+15y -30 -(10x+4y -8)=0`

⇒
`10x+15y -30 -10x-4y +8=0`

⇒
`11y-22=0`

⇒
`11y=22`

Thus , option C is right.