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Answered

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

Verified Answer :

sheheryar91

*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:

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.



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