solve 2x+3y=11 and 2x-4y=-24 and hence find the value of 'm'
for which y=mx+3
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x=-2 y=5 m=-1
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2x + 3y = 11…………………………..(i)
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 – 15)/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
Hope it's Helpful....:)
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