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Pair of Linear Equations in Two Variables
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27/05/2021 11:21 am
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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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27/05/2021 11:23 am
2x + 3y = 11 ……………………..(i)
2x – 4y = -24 …………………… (ii)
From equation (ii), we get
x = (11-3y)/2 ………………….(iii)
Substituting 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.