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

Answer:

Option c :11y = 22

Step-by-step 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.