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