Quick equation question

Hey guys, I was just wondering, how do you solve an equation like this?

I know how to do something like k - 12 = 40

k-12+12=52
k=52

But how would i get it in something like this?

k + 12 - 5 = 40

Or

x + y - 6(3) = 65

k + 12 - 5 = 40 is simple.
(12 - 5 = 7)
k + 7 = 40
k= 40 - 7
k = 33

x + y - 6(3) = 65
(6*3 = 18)
x + y - 18 = 65
x + y = 65 + 18
x + y = 83

When you have a series of numbers and variables you first find out what the values of the numbers are, (6*3 or 12 -5) and then work from there.

Made a bit of a leap there GD...

There is an easier way to do that equation without eliminating K

K + 12 = 45

K = 33

Ah, OK. Thanks. So just to make sure i'm doing it right

d + 50 - 25 = 62
50 - 25 = 25
d + 25 - 25 = 62 - 25
d = 37

Originally Posted by Pàxèn

Made a bit of a leap there GD...

There is an easier way to do that equation without eliminating K

K + 12 = 45

K = 33

The fewer times you have to move the numbers around the better, your way (written like mine) would be this:
K + 12 - 5 = 40
K + 12 = 40 + 5
K + 12 = 45
K = 45 - 12
K = 33
The same number of steps, but with signs reversing an extra time, which increases the odds of a mistake being made. Come grade 11 algebra you're more likely to get a question wrong because you forgot to flip a sign then any other reason, so the fewer times you have to the better.

d + 50 - 25 = 62
50 - 25 = 25
d + 25 - 25 = 62 - 25
d = 37

Yep, that's the right answer.

Yeah I just thought it could use a bit of clarification.

No offense but it confused my 'fragile little mind'(ohh look how original my quotes are... not).

x + y - 6(3) = 65
Firstly, ^^ turn 6(3) into 18.
x + y - 18 = 65
And then Add 18 to 65.
x + y = 83
And thats the closest you can get.
Understand or not?

(Hey, do you people notice that no members from NAYRU Clan (wisdom) have posted in this yet?

Originally Posted by \Archer/

(Hey, do you people notice that no members from NAYRU Clan (wisdom) have posted in this yet?

*Ahem*


Anyways, I'll try clarifying the other equation.
k + 12 - 5 = 40
First, you subtract 5 from 12
So K + (12 -5) = 40
K + 7 = 40
Now, you're trying to get K all by itself, so you subtract 7 from that side of the equation. However, whenever you do an operation to one side of an equation you have to do it to the other side. So you get:
K + 7 -7 = 40 -7
K = 33