Sum

Show graphically that the system of equations x – 4y + 14 = 0; 3x + 2y – 14 = 0 is consistent with unique solution.

Advertisement Remove all ads

#### Solution

The given system of equations is

x – 4y + 14 = 0 ….(1)

3x + 2y – 14 = 0 ….(2)

`x – 4y + 14 = 0 ⇒ y = \frac { x + 14 }{ 4 }`

x | 6 | -2 |

y | 5 | 3 |

Points | A | B |

`3x + 2y – 14 = 0 ⇒ y = \frac { -3x + 14 }{ 2 }`

x | 0 | 4 |

y | 7 | 1 |

Points | C | D |

The given equations representing two lines, intersect each other at a unique point (2, 4). Hence, the equations are consistent with unique solution.

Concept: Graphical Method of Solution of a Pair of Linear Equations

Is there an error in this question or solution?

Advertisement Remove all ads