Question

Solve 2x + 3y = 11 and 2x – 4y = -24 and hence find the value of’m’ for which y = mx +3.​

Answer 1

Explanation:

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Answer 2

Answer:

2x + 3y = 11 = ( i )

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

Solving these equations by substitution method ,

Now from ( ii ) , we get ,

2x - 4y = -24

2x = -24 + 4y

x = ( -24 + 4y)/2

x = -24 /2 + 4y/2 = ( iii )

Put this value is X in ( i ) , we get ,

2(-12+2y)+3y = 11

-24 +4y + 3y = 11

7y=11+24

y =35

y=35/7

y = 5

Now put this value of y in ( iii )

-12+2y

-12+2(5)

-12+10

= -2

y = mx + 3

5= m (-2)+3

5=2m+3

5-3=-2

2=-2m

2/2=-m

1 = -m

= -1 = m

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