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# Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y-axis

**Solution:**

The representation of a linear equation on a graph is called graphing linear equations.

5x - y = 5

⇒ y = 5x - 5

The solution table will be as follows.

x: |
0 |
2 |

y: |
- 5 |
5 |

3x - y = 3

⇒ y = 3x - 3

The solution table will be as follows.

x: |
0 |
2 |

y: |
- 3 |
3 |

The graphical representation of these lines will be as follows.

It can be observed that the required triangle is ABC formed by these lines and the y-axis. The coordinates of vertices are A (1, 0), B (0, - 3), C (0, - 5) .

**☛ Check: **NCERT Solutions Class 10 Maths Chapter 3

**Video Solution:**

## Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis

Class 10 Maths NCERT Solutions Chapter 3 Exercise 3.7 Question 6

**Summary:**

The co-ordinates of the vertices of the triangle formed by the equations 5x - y = 5 and 3x - y = 3 and the y axis are A (1, 0), B (0, - 3), C (0, - 5).

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