Home
Class 9
MATHS
Solve graphically the simultaneous equat...

Solve graphically the simultaneous equations given below. Take the scale as 2 cm-1 unit on both the axes.
`x-2y-4=0`
`2x+y=3`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the simultaneous equations graphically, we will follow these steps: ### Step 1: Write the equations in slope-intercept form The given equations are: 1. \( x - 2y - 4 = 0 \) 2. \( 2x + y = 3 \) We will rearrange both equations to express \( y \) in terms of \( x \). **For the first equation:** \[ x - 2y - 4 = 0 \implies 2y = x - 4 \implies y = \frac{1}{2}x - 2 \] **For the second equation:** \[ 2x + y = 3 \implies y = -2x + 3 \]
Promotional Banner

Topper's Solved these Questions

  • GRAPHICAL SOLUTION(SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS, GRAPHICALLY)

    ICSE|Exercise EXAMPLES|6 Videos
  • GRAPHICAL SOLUTION(SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS, GRAPHICALLY)

    ICSE|Exercise EXAMPLES|6 Videos
  • FACTORISATION

    ICSE|Exercise Exercise 5 (E)|23 Videos
  • ICSE EXAMINATION PAPER 2020

    ICSE|Exercise SECTION - B |21 Videos

Similar Questions

Explore conceptually related problems

Solve graphically the system of equations: x+y=3 3x-2y=4

Solve the simultaneous equations |x+2|+y=5 , x-|y|=1 Find x.

For equations given below find the slope and the y- intercept. 3x + 2y + 4=0

Solve 3x + 2y > 6 graphically.

Solve graphically the following pairs of equations : 2x+y=23 4x-y=19

Show graphically the system of linear equations x + 2y = 3 and 4x + 3y = 2.

By drawing a graph for each of the equations 3x+y+5=0, 3y-x=5 and 2x+5y=1 on the same graph paper, show that the lines given by these equations are concurrent (i.e. they pass through the same point) Take 2 cm=1 unit on both the axes.

Solve graphically the following pairs of equations : 3x+7y=27 8-y=5/2x

Solve graphically following system 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

Solve graphically following system of linear equations. Also find the coordinates of the points where the lines meet axis of y . 2x-5y+4=0,\ \ \ 2x+y-8=0

ICSE-GRAPHICAL SOLUTION(SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS, GRAPHICALLY)-EXERCISE 27(B)
  1. Solve graphically the following pairs of equations : x-5=0 y+4=0

    Text Solution

    |

  2. Solve graphically the following pairs of equations : 2x+y=23 4x-y=...

    Text Solution

    |

  3. Solve graphically the following pairs of equations : 3x+7y=27 8-y=...

    Text Solution

    |

  4. Solve graphically the following pairs of equations : (x+1)/4=2/3(1-2...

    Text Solution

    |

  5. Solve graphically the simultaneous equations given below. Take the sca...

    Text Solution

    |

  6. Use graph paper for this question. Draw the graph of 2x-y-1=0 an 2x+y=...

    Text Solution

    |

  7. Use graph paper for this question. Take 2 cm =2 units onx-axis and 2cm...

    Text Solution

    |

  8. Use graph paper for this question. Take 2cm=1 unit on both the axes. ...

    Text Solution

    |

  9. The sides of a triangle are given by the equations y-2=0, y+1=3(x-2) a...

    Text Solution

    |

  10. By drawing a graph for each of the equations 3x+y+5=0, 3y-x=5 and 2x+5...

    Text Solution

    |

  11. Using the scale of 1 cm to 1 unit for both the axes, draw the graphs o...

    Text Solution

    |

  12. The cost of manufacturing x articles is Rs. (50+3x). The selling price...

    Text Solution

    |

  13. Find the graphically, the vertices of the triangle whose sides have th...

    Text Solution

    |

  14. Using the same axes of co-ordinates and the same unit, solve graphical...

    Text Solution

    |

  15. Solve graphically the following equations, x+2y=4,3x-2y=4 Take 2 c...

    Text Solution

    |

  16. Use the graphical method to find the value of x for which the expressi...

    Text Solution

    |

  17. The course of an enemy submarine, as plotted on reactangular co-ordina...

    Text Solution

    |