CBSE Guess > Papers > Question Papers > Class X > 2009 > Mathematics > Mathematics
Q. 18. Check graphically whether the pair of equations 3x – 2y + 2 = 0 and 
x – y + 3 = 0, is consistent. Also find the coordinates of the points where the graphs of the equations meet the y-axis.
Sol. 3x – 2y + 2 = 0 x – y + 3 = 0
3x + 2 = 2y x + 3 = y
| x | 0 | 2 | -2 |
| y | 1 | 4 | -2 |
| x | 0 | 2 | -2 |
| y | 3 | 6 | 0 |
By plotting the points and joining them, the lines donot intersect anywhere, i.e., they are parallel.
Given pair of equations is not consistent, i.e., inconsistent.
The equation 3x – 2y + 2 = 0 meets the y-axis at A(0, 1)
The equation x – y + 3 = 0 meets the y-axis at B(0, 3).
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CBSE 2009 Question Papers Class X