how to solve simultaneous equations using a graph

[gunning]

2x+3y=6
2x-y=-10

[buildersmate]

You are being asked to plot these 2 equations on a piece of graph paper, presumably as homework. Where the lines cross each other gives the value of X and Y that solves the equation. Run the axes from -5 to +5 (at least) for both X and Y, just in case the solution involves a negative number (it does).

[Catso]

I'll show you - hang on...

There, see? A few pencil lines and its solved.

[chainfire]

first rearrange both equations to make y the subject:
e.g.y= () x + () - where () is a certain number
Then draw those equations on a graph, where the lines meet is what the solution is (e.g. at point (2,6) x=2 and y=6.

[mibn2cweus]

like this

[mibn2cweus]

2x + 3y = 6 solve using zero for x to find point on y axis:
0 + 3y = 6 then y = 6 / 3 or y = 2
if x = 0 then y = 2

similarly when y = o then x = 3 . . . right?

Draw a line from 2 on the y axis to 3 on the x axis

Using the same technique plot 2x - y = -10:

Solution for x and y is where lines cross . . .

. . . that's my guess?