Question

3 2 6
2 Solve 2x + 3y = 11 and 2x - 4y = - 24 and hence find the value of 'm' for which
y = mx + 3.
C.
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find their solution​

Answer 1

Answer:

Required value of m is - 1.

Step-by-step explanation:

Given,

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

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

Subtracting ( 1 ) from ( 2 ) :

= > ( 2 ) - ( 1 )

= > ( 2x + 3y ) - ( 2x - 4y ) = 11 - ( - 24 )

= > 2x + 3y - 2y + 4y = 11 + 25

= > 7y = 35

= > y = 35 / 7 = 5

Substituting the value of y in ( 1 )

= > 2x + 3y = 11

= > 2x + 3( 5 ) = 11

= > 2x = 11 - 15

= > x = - 4 / 2

= > x = - 2

Hence :

= > y = mx + 3

= > 5 = m( - 2 ) + 3

= > 5 - 3 = - 2m

= > 2 / ( - 2 ) = m

= > - 1 = m

Hence the required value of m is - 1.

Answer 2

Answer:

m = - 1

Step-by-step explanation:

Given :

2 x + 3 y = 11

2 x = 11 - 3 y ... ( i )

2 x - 4 y = - 24

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

From ( i ) and  ( ii )

11 - 3 y = - 24 + 4 y

- 7 y = - 35

y = 5

2 x = 11 - 3 y

2 x = 11 - 15

x = - 2 .

Now given y = m x + 3

5 = - 2 m + 3

- 2 m = 2

m = - 1 .

Hence the value of m is - 1.