Question

Question 6 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 - Math - Pair of Linear Equations in Two Variables Page 68

Answer 1

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 required ΔABD whose vertices are A(1,0), B(0,5), C(0,-3)

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Hope this will help you...