SOLUTION: could somebody help me with this linear equation: Solve by graphing 4x-y=6 3x+y=1 this would be greatly appreciated :)

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Question 24155: could somebody help me with this linear equation:
Solve by graphing 4x-y=6
3x+y=1
this would be greatly appreciated :)

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
your equations are
y = 4x-6
y = 1-3x
by re-arranging the ones you quoted.

You need to plot both equations...both are straight lines. You need to DECIDE upon x-values and for each of these, find the corresponding y-value. Once you have 2 sets of (x,y) values - one for each equation, then plot them.

Being straight lines, in theory you need just 2 points and join them up with a ruler. However, you might have calculated one set wrong, so safer to do at least 3 sets of coordinates.

I shall do the first set for you, as an example.

I choose x=0 (nice and simple)
so eqn 1 becomes y = 4(0)-6
--> y = 0 -6
--> y = -6
so coordinates are (0,-6)

Now, equn2 becomes y = 1-3(0)
--> y = 1-0
--> y = 1
so coordinates are (0,1)

You choose 2 other x-values (as a minimum number of values) and find the y-values.

Draw the axes on your graph
Plot the 2 lines
Where the 2 lines cross is the answer...quote the x and y values of that point.

jon.