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Question 7 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.

Class 10 - Math - Pair of Linear Equations in Two Variables Page 50

Answers

Answered by nikitasingh79
141
To draw the graph of a linear equation in two variable a series of steps to be followed which is given below:Step I:Obtain the linear equation.Let the equation be  ax +by + c = 0Step II: Express one unknown quantity in terms of other here. Express Y in terms of x to gety= - (ax+c/b)Step III:For any two values of x, calculate the corresponding values of y  from the expression in step II to obtain two solutions say (x1, y1 and( x2 ,y2)Step IV:plot the points  (x1, y1 and( x2 ,y2)  on graph paper on a suitable scale.Step V:Draw a  line passing through points marked in step IV. The line so obtained is the graph of the equation  ax + by+c = 0 ---------------------------------------------------------------------------------------------------

Graph is in the attachment.

Hence the coordinates of the vertices of the  
ΔDEF are D (2,3) , E(4,0),
F(1,0) 

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Hope this will help you...
Attachments:
Answered by mirzamohammedrehanba
13

Answer:

To draw the graph of a linear equation in two variable a series of steps to be followed which is given below:Step I:Obtain the linear equation.Let the equation be  ax +by + c = 0Step II: Express one unknown quantity in terms of other here. Express Y in terms of x to gety= - (ax+c/b)Step III:For any two values of x, calculate the corresponding values of y  from the expression in step II to obtain two solutions say (x1, y1 and( x2 ,y2)Step IV:plot the points  (x1, y1 and( x2 ,y2)  on graph paper on a suitable scale.Step V:Draw a  line passing through points marked in step IV. The line so obtained is the graph of the equation  ax + by+c = 0 ---------------------------------------------------------------------------------------------------

Graph is in the attachment.

Hence the coordinates of the vertices of the  ΔDEF are D (2,3) , E(4,0),

F(1,0)  

----------------------------------------------------------------------------------------------------

Hope this will help you...

Step-by-step explanation:

Attachments:
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