Draw the graph of x 2 + y 3 = 1 .

Given equation is x 2 + y 3 = 1 . Steps for drawing the graph: ∙ Make the subject of formula as y . ∙ Choose three values for x and find the corresponding values of y . ∙ Display the values of x and y in a table. ∙ Plot the points and draw the graph. Now, x 2 + y 3 = 1 ⇒ y 3 = 1 - x 2 y = 3 2 - x 2 x 0 2 4 y = 3 2 - x 2 3 0 - 3 Draw x -axis and y -axis, choose suitable scale for the axes. x -axis: 1 cm = 1 unit , y -axis: 1 cm = 1 unit Plot the points 0 , 3 , 2 , 0 , 4 , - 3 and draw the graph. Write the equation of the line. Thus, we obtained the graph of the linear equation in two variables x 2 + y 3 = 1 and it is a line.

Draw the graph of x 3 - y 2 = 1 .

Given equation is x 3 - y 2 = 1 . Steps for drawing the graph: ∙ Make the subject of formula as y . ∙ Choose three values for x and find the corresponding values of y . ∙ Display the values of x and y in a table. ∙ Plot the points and draw the graph. Now, x 3 - y 2 = 1 ⇒ y 2 = x 3 - 1 y = 2 x - 3 3 x 0 3 6 y = 2 x - 3 3 - 2 0 2 Draw x -axis and y -axis, choose suitable scale for the axes. x -axis: 1 cm = 1 unit , y -axis: 1 cm = 1 unit Plot the points 0 , - 2 , 3 , 0 , 6 , 2 and draw the graph. Write the equation of the graph. Thus, we obtained the graph of the linear equation in two variables x 3 - y 2 = 1 and it is a line.

Solve the pair of linear equations: x 3 - y 2 = 2 ; x 5 - y 2 = 1 3 5 graphically.

Given pair of linear equations are x 3 - y 2 = 2 and x 5 - y 2 = 1 3 5 . Steps for drawing each graph: ∙ Make the subject of formula as y . ∙ Choose three values for x and find the corresponding values of y . ∙ Display the values of x and y in a table. ∙ Plot the points and draw the graph. x 3 - y 2 = 2 ⇒ y 2 = x 3 - 2 ⇒ y = 2 x - 6 3 x - 3 0 3 y = 2 x - 6 3 - 6 - 4 - 2 x 5 - y 2 = 1 3 5 ⇒ y 2 = x 5 - 8 5 ⇒ y = 2 x - 8 5 x - 2 3 8 y = 2 x - 8 5 - 4 - 2 0 Now, we need to plot the points of each equation and join them. We obtained a pair of straight lines as the graphs of the pair of linear equations. The point of intersection is the solution of the given pair of equations. Hence, we solved the pair of linear equations graphically and the solution is 3 , - 2 .