Question

Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 7​

Answer 1

Answer:

the answer of m = 3

pls mark it as brillant

Answer 2

Answer :

• x = -2 , y = 5

• m = 1

Solution :

Here ,

The given equations are ;

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

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

Now ,

Subtracting eq-(2) from eq-(1) , we get ;

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

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

=> 7y = 35

=> y = 35/7

=> y = 5

Now ,

Putting y = 5 in eq-(1) , we have ;

=> 2x + 3y = 11

=> 2x + 3•5 = 11

=> 2x + 15 = 11

=> 2x = 11 - 15

=> 2x = -4

=> x = -4/2

=> x = -2

Hence , x = -2 and y = 5 .

Also ,

We need to find the value of m if

y = mx + 7 .

Thus ,

=> y = m(-2) + 7

=> 5 = -2m + 7

=> 2m = 7 - 5

=> 2m = 2

=> m = 2/2

=> m = 1

Hence , m = 1 .