Question

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

Answer 1

Answer:

m = -1

Step-by-step explanation:

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

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

y = mx + 3 ---- eq(3)

Solving eq(1) & eq(2), we get

x = −2 and y = 5

substituting x and y in eq(3)

5 = -2m + 3

2 = -2m

m = -1

Please mark my answer Brainliest

Answer 2

Given :-

• 2x + 3y = 11 and 2x – 4y = -24

To find :-

• Value of x and y
• value of ‘m’ for which y = mx +3

Solution :-

• Given equation
• 2x + 3y = 11 ----(i)
• 2x - 4y = - 24 ------------(ii)

Solve above equations by elimination method

Subtract both the equations

→ (2x + 3y) - (2x - 4y) = 11 - (-24)

→ 2x + 3y - 2x + 4y = 11 + 24

→ 7y = 35

→ y = 35/7

→ y = 5

Putting the value of y in equation (i)

→ 2x + 3y = 11

→ 2x + 3 × 5 = 11

→ 2x + 15 = 11

→ 2x = 11 - 15

→ 2x = - 4

→ x = - 4/2

→ x = - 2

Now, value of m

• y = mx + 3

→ 5 = m × (-2) + 3

→ 5 = 3 - 2m

→ 2m = 3 - 5

→ 2m = - 2

→ m = - 1

Therefore ,

• Value of x = - 2
• Value of y = 5

Hence,

• Value of m is - 1