#### Question

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet axis of *y*.

x + 2y − 7 = 0,

2x − y − 4 = 0

#### Solution

The given equations are

x + 2y − 7 = 0 ..............(i)

2x − y − 4 = 0 ...............(ii)

The two points satisfying (i) can be listed in a table as,

x | 5 | 7 |

y | 1 | 0 |

The two points satisfying (ii) can be listed in a table as,

x | 2 | 1 |

y | 0 | -2 |

Now, the graph of equations (i) and (ii) can be drawn as,

It is seen that the solution of the given system of equations is given by x = 3, y = 2.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0,3.5) and (0, -4) respectively.

Is there an error in this question or solution?

Advertisement

Advertisement

Solve Graphically Each of the Following Systems of Linear Equations. Also, Find the Coordinates of the Points Where the Lines Meet Axis Of Y. X + 2y − 7 = 0, 2x − Y − 4 = 0 Concept: Graphical Method of Solution of a Pair of Linear Equations.

Advertisement