I just gave you 3 points Mari, I don't give points as easily as CPhill does. I like people to really earn them.
I am really pleased that you explained how you got your answer. It was your explanation - not your answer that earned you your points with me.
You sort of did what CPhill did - I will try to explain.
$$\dfrac{(x+4)}{2}=7$$
You sort of said : What divided by 2=7 and the answer is 14/2 is 7 This means that x+4=14
CPhill said : I want to get the x+4 on its own so how do I get rid of the 2 Umm I muliply by 2 but if I multiply the left side by 2 then i have to multiply the right side by2 as well. This keeps the equation balanced!
$$\begin{array}{rlll}
\frac{x+4}{2}&=&7\\\\
\frac{x+4}{2}\times 2&=&7\times 2\\\\
x+4&=&14\qquad \qquad \mbox{On the left the 2s cancel out, that is what CPhill did it for!}\\
\end{array}$$
Next you said : What + 4=14 and the answer is obviously 10 SO x=10
CPhill said: x+4=14 I need the x by itself so how do I get rid of the +4 Umm I know, I'll take it away (+4-4=0)
But if I take it away from the left side then I have to take it away from the right side too. I have to keep the equation balanced!
x+4-4=14-4
x=10
See you sort of did the same thing only CPhill did it in a more formal way.
You need to learn how to do it the formal way or you will not be able to solve difficult equations later on.
ALWAYS REMEMBER - EQUATIONS ARE LIKE SCALES, THEY MUST STAY BALANCED AT ALL TIMES!
i dont really get how to do it. i just subsitute the numbers to see which one makes sense and i got 10
(10+4)/2=7
add 10+4 then divide it by 2 and it =7
14/2=7
mari379, your "technique" will work if we're given the answers, beforehand.....!!!!
But, what if we don't have those???
Let's see how to solve this....step by step...
(x+4)/2=7 multiply both sides by 2
x + 4 = 14 subtract 4 from both sides
x = 10
In upper level maths....you have to be able to solve "without the answers"........also, "plugging" in the answers takes too much time in a test situation !!!!
I just gave you 3 points Mari, I don't give points as easily as CPhill does. I like people to really earn them.
I am really pleased that you explained how you got your answer. It was your explanation - not your answer that earned you your points with me.
You sort of did what CPhill did - I will try to explain.
$$\dfrac{(x+4)}{2}=7$$
You sort of said : What divided by 2=7 and the answer is 14/2 is 7 This means that x+4=14
CPhill said : I want to get the x+4 on its own so how do I get rid of the 2 Umm I muliply by 2 but if I multiply the left side by 2 then i have to multiply the right side by2 as well. This keeps the equation balanced!
$$\begin{array}{rlll}
\frac{x+4}{2}&=&7\\\\
\frac{x+4}{2}\times 2&=&7\times 2\\\\
x+4&=&14\qquad \qquad \mbox{On the left the 2s cancel out, that is what CPhill did it for!}\\
\end{array}$$
Next you said : What + 4=14 and the answer is obviously 10 SO x=10
CPhill said: x+4=14 I need the x by itself so how do I get rid of the +4 Umm I know, I'll take it away (+4-4=0)
But if I take it away from the left side then I have to take it away from the right side too. I have to keep the equation balanced!
x+4-4=14-4
x=10
See you sort of did the same thing only CPhill did it in a more formal way.
You need to learn how to do it the formal way or you will not be able to solve difficult equations later on.
ALWAYS REMEMBER - EQUATIONS ARE LIKE SCALES, THEY MUST STAY BALANCED AT ALL TIMES!
YES
When I was Queen Guinevere I would behead my unruly subjects!
And, now that I am a dinosaur I eat them for breakfast!
So you better tread VERY carefully. lol.
Don't believe her for a minute, mari379.......her "bark" is worse than her "bite".....she's a "softy"....at heart.......
Yes CPhill your right!these kinda people are really very soft of heart!
I wonder , Zegroes is Godzilla and Godzilla is much more than dinosaur so it means that Godzilla is much more soft of heart than dinosaur!
A new secret of POOR Zeg-ROSE has been revealed!
Sorry Chris
I didn't realise that it was a multiple choice answer. But it doesn't matter, my logic still holds.
And what do you mean
"My bark is worse than my bite" ?
Got you bluffed. Lol.
Anyway Mari it had been good to see you on the forum with the rest of CPhill's "Rat Pack".