Question

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

Answer 1

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2x + 3y = 11…………………………..(i)

2x - 4y = -24………………………… (ii)

From equation (ii), we get:

x=(11 - 3y)/2 ……….…………………………..(iii)

Putting the value of x in equation (ii),

We get:

2(11-3y)/2 - 4y = -24

➠ 11 – 3y - 4y = -24

➠ -7y = -35

➠ y = 5……………………………………..(iv)

Putting the value of y in equation (III),

We get:

x = (11 - 3.5)/2

➠ -4/2

➠ -2

• Hence, x = -2, y = 5

Also,

y = mx + 3

➠ 5 = -2m + 3

➠ -2m = 2

➠ m = -1

• Therefore, the value of m is -1.

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Answer 2

Answer:

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