CBSE 10th Class Mathematics
Past year question paper
Year 2020
SET 1, Code Number – 30/2/1
Question Number – 6
Linear Equation
Consistent, Inconsistent
The pair of linear equations [3x/2]+[5y/3] = 7 and 9x+10y = 14 is
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It is consistent
a1/a2 ≠ b1/b2
3/2x + 5/3y = 7 ; 9x – 10y = 14
a1/a2 = 3/2/9 = 1/6
b1/b2 = 5/3/–10 = – 1/6 and
c1/c2 = 7/14 = 1/2
Hence, a1/a2 ≠ b1/b2
The pair of linear equations is consistent