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ICSE Class 8 Answered

The integral value of ‘m’ for which, the equations 9x + 4 y = 9 and 7x + my = 5 has integral solution then (A) m = 4 (B) m = 3 (C) m = –28/9 (D) m = 9
Asked by skanand6 | 19 May, 2020, 06:41: PM
answered-by-expert Expert Answer
Given equations are 9x+4y=9 ... (i)    and     7x + my = 5 ... (ii)
Multiplying (i) by 7 and (ii) by 9, we get
63x+28y=63 ... (iii)
63x+9my=45 ... (iv)
Subtrating (iv) from (iii), we have
(28-9m)y=18
y=18/(28-9m)
y is an integer if m=3
y=18
Substituting in (i), we get
x=-9
Hence, m=3.
Answered by Renu Varma | 20 May, 2020, 10:32: AM

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