. Find the value of m
Solve 2x + 3y = 11 and 2x – 4y = –24 and hence find the value of ‘m’ for which y = mx + 3.
a. 1
b. 2
c. -2
d. -1
Best Answer
Sol : d
2x + 3y = 11
2x – 4y = –24
From (1), we have 2x = 11– 3y
Substituting 2x = 11 – 3y in (2),
11– 3y – 4y = –24
– 7y = –24 –11
–7y = –35
y = 5
Putting y = 5 in (1),
2x + 3 x 5 = 11
2x = 11–15
x = –4/2 = –2
Hence, x = –2 and y = 5
Again putting x = –2 and y = 5 in y = mx + 3. we get
5 = m(–2) + 3
–2m = 5 – 3
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