CBSE Guess > Papers > Question Papers > Class X > 2009 > Mathematics > Mathematics
Q. 17. Check graphically whether the pair of equations 3x + 5y = 15 and x – y = 5 is consistent. Also find the coordinates of the points where the graphs of the equations meet the y-axis.
Sol .
| x | 0 | -5 | 5 |
| y | 3 | 6 | 0 |
| x | 5 | 7 | 3 |
| y | 0 | 2 | -2 |
By plotting the points and joining them, the lines intersect at A(5, 0)
x = 5, y = 0
The pair of given equation is consistent.
The equation 3x + 5y = 15 meets the y-axis at
B(0, 3)The equation x – y = 5 meets the y-axis at C(0, – 5)
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CBSE 2009 Question Papers Class X