Question

Solve 2x+3y=11 and 2x-4y=-24 and hence fimd the value of m for which y=mx3

Answer 1

Hey there !!

Error : Its y = mx + 3 .

Answer: m = - 1 .

Step-by-step explanation:

2x + 3y = 11 ........... (1) .

2x - 4y = -24 ............(2) .

Substracte in equation (1) and (2), we get

2x + 3y = 11.

2x - 4y = -24 .

-    +          +

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⇒ 7y = 35 .

⇒ y = 35/7 .

∴ y = 5 .

On putting the value of y in eqaution (1), we get

∵ 2x + 3y = 11 .

⇒ 2x + 3( 5 ) = 11 .

⇒ 2x + 15 = 11 .

⇒ 2x = 11 - 15 .

⇒ 2x = -4 .

⇒ x = -4/2 .

∴ x = -2

∵ y = mx + 3 .

⇒ 5 = m( -2 ) + 3 .

⇒ 5 = -2m + 3 .

⇒ 5 - 3 = -2m .

⇒ -2m = 2 .

⇒ m = 2/-2 .

∴ m = -1 .

Hence , it is solved .

THANKS

#BeBrainly.

Answer 2

here is your answer OK ☺☺☺☺☺☺☺

$\huge \red{solution}$
We have equations :

2 x + 3 y = 11 --- ( 1 )

And

2 x - 4 y = - 24 --- ( 2 )

Now we subtract equation 2 from equation 1 and get

7 y = 35 ,

y = 5 , Substitute that value in equation 1 and get

2 x + 3 ( 5 ) = 11 ,

2 x + 15 = 11 ,

2 x = - 4 ,

x = - 2

These values of ' x ' and ' y ' we substitute in y = m x + 3 and get

5 = m ( - 2 ) + 3 ,

5 = - 2 m + 3 ,

- 2 m = 2 ,

m = - 1 ( Ans )

$\red{ok \: i \: hope \: i \: help \: you}$