Question

solve 2 X + 3 Y is equal to 11 and 2 x minus 4 Y is equal to minus 24 and hence find the value of m for equal to Y is equal to M into plus 3 ​

Answer 1

Answer:

solve 2 X + 3 Y is equal to 11 and 2 x minus 4 Y is equal to minus 24 and hence find the value of m for equal to Y is equal to M into plus 3

Answer 2

Answer

x = -2

y = 5

m = -1

Step-by-step explanation:

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

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

From equation (i) ;

2x + 3y = 11

⇒2x = 11 - 3y

$⇒x = \sf \frac{11 - 3y}{2} </p><p>$

Substituting the value of x in eqⁿ (ii).

2x - 4y = -24

$⇒ 2 (\sf \frac{11 - 3y}{2} ) - 4y = - 24$

⇒ 11 - 3y - 4y = -24

⇒ 11 - 7y = - 24

⇒ - 7y = - 24 - 11

⇒ - 7y = -35

⇒ 7y = 35

⇒ y = 5

Putting the value of y in eqⁿ (i)

2x + 3y = 11

⇒ 2x + 3 * 5 = 11

⇒ 2x + 15 = 11

⇒ 2x = 11 - 15

⇒ 2x = - 4

⇒ x = -2

Hence, x = -2 and y = 5 are the solution of the given equation.

Now, we need to find the value of m.

y = mx + 3

⇒ 5 = m (-2) + 3

⇒ 2m = 3 - 5

⇒ 2m = -2

⇒ m = -1

Thus, the value of m is (-1).