Question

How to solve Simultaneous Equations Graphically

Answer 1

There are a few ways to solve simultaneous equations; one of them is to plot the lines of the 2 equations, thus solving the equation. This article will teach you how to solve simultaneous equations graphically!1

Write your 2 equations clearly. Write your 2 equations in an organised, clear way. This will make it easier later.

In this guide, we are going to use equations 3x+4y=22 and x+2y=2 as an example.2

In the first equation, let x be 0. Replace x with 0, and solve the equation. This should give you the value of y.

Using the example before: 3*0+4y=22, which becomes 4y=22, and then y=5½

You now have your first coordinate, (0 ; 5½)

3

Let y be 0. In the first equation, let y be 0 and solve the equation. This will give you the value of x.

Using the example: 3x+4*0=22 which becomes 3x=22 which gives us the answer of x=7⅓

You now have a set of coordinates for your first line, (0 ; 5½) and (7⅓ ; 0)4

Draw a graph with 4 quadrants. Draw the line of your first equation on it.5

In the second equation, let x be 0.Then solve the equation, giving you the value of y.

Using the example, it's 0+2y=2, which becomes 2y=2 and y=1

First coordinate is now (0 ; 1)6

Let y be 0. Solve the equation and get the value of x.

Example: x+2*0=2, which becomes x=2.

Second coordinate is now (2 ; 0)Draw the line of the second equation on the same graph as before. If needed, increase the length of the 2 lines until they meet.8

Look at the point in which the 2 lines meet. Get it's coordinates (x ; y). The x coordinate will be the value of x in the equation, and the y coordinate will be the value of y!

If you've been using the example, the lines should meet at point (18 ; -8). x will be 18, and y will be -8!

Answer 2

Hey......

Here's the Answer.....

1.Find at least 3 ordered pairs for given equation

2.Draw x-axis and y-axis on the graph paper and plot the points
3.See that all the 3 points lie on one line

I Add an image.

Sorry for the Handwriting and clearity of the picture.

Hope if helps.

:-)