Help converting two standard form equations to slope intercept form?

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matheus

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Hi guys,

I have a few tries at this but I keep coming up wrong, so can anyone help me convert these two standard form equations into slope intercept form? :confused:

2x - 11y = 2,
-6x + 3y = 9.

I would really appreciate some help here so thank you :)

Have a great day ;)
 
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matheus said:
...convert these two standard form equations into slope intercept form?

2x - 11y = 2,
-6x + 3y = 9.
Click to expand...
If you'd been given "2 - 11y = 2", how would you solve for "y="? Do the same steps for the first equation.

If you'd been given "-6 + 3y = 9", how would you solve for "y="? Do the same steps for the second equation.

The only difference between solving linear equations in one variable (only x, say, or only y) and solving two-variable equations of the type you've posted, is that things won't simplify as much.

While, for "2 - 11y = 2", you can simplify the right-hand side of "-11y = 2 - 2" to get zero, you can't simplify as much for "2x - 11y = 2" when you subtract the x term over, yielding "-11y = 2 - 2x". But that's the only difference. You'll still divide through by -11 to isolate y. This will be the same for solving all literal equations. ;)
 
Hey guys,

Thanks a lot for the helpful replies :)

That Khan Academy website is really excellent! Thanks for the link Denis.

So I've spent a little while still trying to get the hang of converting Ax+By=C into y=mx+b and I have pasted my working below.

I would greatly appreciate if someone could check if I've got it ok? I'm not the smartest guy in the world so I like to run my work past much more intelligent people to double check :D

1087foz.jpg
 
For the first equation:

How did you divide +2x by -11 and get +2x/11? How did you divide -2 by -11 and get -2/11?

For the second equation:

Good work! ;)
 
Hi stapel,

Thanks for the reply! :)

For the first equation, I tried following an example but substituting my equation into it, I'm really not getting my head around this algebra stuff am I :???:
 
Just be more careful with your negative numbers! ;)
 
Thanks for the tip Mr Stapel, I'll have another look at it :)

The second conversion looks ok though yes?
 
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