Question

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

Answer 1

Refers the attachment........

Answer 2

$\underline{\bigstar{\sf\ Given:-}}$

y = mx + 3

$\underline{\bigstar{\sf\ To\:Find:-}}$

Value of m

$\underline{\bigstar{\sf\ Solution:-}}$

2x + 3y = 11

⇒ 2x = 11 - 3y --------> 1

2x - 4y = - 24 ---------> 2

Putting eq. 1 in eq. 2

11 - 3y - 4y = - 24

11 - 7y = - 24

- 7y = - 24 - 11

- 7y = - 35

$y = \frac{ - 35}{ - 7}$

y = 5

Putting this value in eq. 1

2x = 11 - 3(5)

2x = 11 - 15

2x = - 4

$x = \frac{ - 4}{2}$

x = - 2

⇒ y = mx + 3

5 = m (-2) + 3

5 = -2m + 3

5 -3 = -2m

2 = -2m

$m = \frac{ - 2}{2} \\ m = - 1$

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