Need a little help with these problems:

1. (Solve equation for the given variable)

ax + by + c = 0 for x



2. (Express answer in simplest form in terms of the given variable)

The base and height of a triangle are consecutive odd integers, and the height exceeds the base. If the base is B cm, find the area of the triangle.

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Can anyone tell me how to do these please??

1. ax+by+c = 0

just maniuplate it using the reverse order of the order of operations

subtract C from both sides
ax+by = -c

subtract by from both sides
ax=-by-c

divide everything by a
x=(-by-c)/a

2. if they are consecutive odd integers, and the height is bigger than the base, and the base is B, then what is the next odd number? u would add 2 to the base, therefore, the height is b+2

then find the area, base times height
B X (B+2)
b2 + 2b
its B squared plus two b

then divide 2 cuz a triangle is half the area of a sqaure
(b2 + 2b)/2

if u want to simplify, then its (b2/2)+b
b squared divided by 2, plus b

PLEASE please please please!!! correct me if im wrong

The first question is totally correct, but for the second one, instead of doing square then halving it, I would just directly plug it into the triangle equation as:

b(b+2)
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2

the simplified version is right, but be careful how you write that cuz for a sec i thought it was b2, not b squared.... also depending on how your teacher likes it, I'd simplify it as


B [ (b+2) /2 ]

Okie dokie lets see if i still got my talent =D
1. ax+by+c = 0

First, you have to get the x by itself, so you subtract the by and the c:

ax+by+c= 0
-by = 0

ax+c= 0+by
-c = 0-by

So now you have:
ax = 0 - by - c

See how the sign changed?

Now what you do is divide ax by a so all you have left is x, make sure you do it to both sides.


2. (Express answer in simplest form in terms of the given variable)

The base and height of a triangle are consecutive odd integers, and the height exceeds the base. If the base is B cm, find the area of the triangle.

Oh, God. I was never good at this. Sorry, I cant get this one... =((

I was going to help...but..other people have basically explained it..and....I didn't want to be repetititive..

I'll help you another time. I love Algebra.

..but really, I like Algebra.