Linear Equations in Two Variables Practice Set 1.2

Hi friends, welcome on Maths Master, here you will learn how to solve linear equations in two variables by using Graphical methods.

Click here for Practice Set 1.1 Elimination Method

In the 9th standard we learnt that the graph of a linear equation in two variables is a straight line. The ordered pair which satisfies the equation is a solution of that equation. The ordered pair represents a point on that line.

Steps to follow for drawing a graph of linear equation in two variables:

• Find at least 4 ordered pairs for given equation
• Draw X- axis, Y-axis on graph paper and plot the points
• See that all 4 points lie on one line

Two points are sufficient to represent a line, but if co-ordinates of one of the two points are wrong then you will not get a correct line.

If you plot three points and if they are non collinear then it is understood that one of the points is wrongly plotted. But it is not easy to identify the incorrect point.

If we plot four points, it is almost certain that three of them will be collinear.

Let’s draw graphs of x + y = 4, 2x – y = 2 and observe them.

Sol.: Available soon

Practice Set 1.2

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2. Solve the following simultaneous equations graphically.
   (1) x + y = 6 ; x – y = 4 (2) x + y = 5 ; x – y = 3
   (3) x + y = 0 ; 2x – y = 9 (4) 3x – y = 2 ; 2x – y = 3
   (5) 3x – 4y = -7 ; 5x – 2y = 0 (6) 2x – 3y = 4 ; 3y – x = 4

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More Questions for Practice

1. x-y =2 ; x+y = 6
2. x+ y= 7 ; x-y =3
3. x+y=7 ; x-y =-1
4. 3x+4y+5=0 ; y=x+ 4
5. 4x +3y =17 ; 3x + 4y= 18
6. 𝑥 − 𝑦 = 1; 2 𝑥 + 𝑦 = 8

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