Question

2x+3y=11,
2x-4y=-24
find the value of 'm' for which y mx +3.

Answer 1

Answer:

m= -1

Step-by-step explanation:

$2x + 3y = 11 \: \: \: ...(1) \\ 2x - 4y = - 24 \: \: \: ...(2) \\ now \: subtract \: eq \: (2) \: from(1) we \: get \: \\ 7y = 35 \\ y = \frac{35}{7} \\ y = 5$

$put \: y = 5 \: in \: eq \: (1) \\ 2x + 3y = 11 \\ 2x + 3(5) = 11 \\ 2x + 15 = 11 \\ 2x = 11 - 15 \\ 2x = - 4 \\ x = - 2$

$put \: x = - 2 .\: y = 5 \: in \\ y = mx + 3 \\ (5) = m( - 2) + 3 \\ 5 - 3 =m ( - 2) \\ 2 = m( - 2) \\ m = \frac{2}{ - 2} \\ m = - 1$

m= -1