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Previous NextPair of linear equations in two variables CBSE NCERT Solutions
Question:
Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Answer:
Solution: For equation x – y + 1 = 0, we have the following points which lie on the line.
x |
0 |
-1 |
y |
1 |
0 |
For equation 3x + 2y – 12 = 0, we have the following points which lie on the line.
x |
4 |
0 |
y |
0 |
6 |
We plot the points for both of the equations to find the solution.
We can see from the graphs that points of intersection of the lines with the x-axis are (–1, 0), (2, 3) and (4, 0).
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