# Thread: Easy Math Question - Just need to explain it to me.

1. ## Easy Math Question - Just need to explain it to me.

What strategies can be used to solve and equation algebraically?

Use 5x - 12 = 4 - 3x and 3/4x + 10 = 7 as an example.

Please describe each strategy for me, I really don't know how to explain it and my math homework is driving me crazy!!

2. Step 1: Group variables on one side, constants on the other.

Step 2: "Normalize" variables (in other words, multiply both sides by a factor such that the coefficient of the variable becomes 1).

Example: $\displaystyle \frac{2}{3}x - 1 = 2$

Step 1: $\displaystyle \frac{2}{3}x = 3$

Step 2: $\displaystyle \frac{2}{3}x*(\frac{3}{2}) = 3*(\frac{3}{2})$

Answer: $\displaystyle x = \frac{9}{2}$

Now try your problems.

3. Well, even if you can't "explain", can you solve each of those ?

Can you solve this one for x: 2x + 3 = 7

So what would be the answer to 3/4x + 10 = 12

I don't get hot to solve fractions...Please describe step by step

5. Originally Posted by Johnathon324
So what would be the answer to 3/4x + 10 = 12

I don't get hot to solve fractions...Please describe step by step
You can always multiply through by the LCD of the equation (in this case 4) to clear the fraction

$\displaystyle \dfrac{3}{4}x + 10 = 12$ is equivalent to $\displaystyle 3x+40=48$

Then continue as normal

6. So lets say I want to check this equation? What should I do? Solve it basically and work backwards? How can I explain than in this essay?

7. Not sure what to tell you; if you're writing an "essay" on solving,
seems to me you should already know HOW to solve; have you
not attended math classes?

8. I can only show what I do; she said that no numbers or equations should be in the essay. So I have to work around it...

9. Originally Posted by Johnathon324
I can only show what I do; she said that no numbers or equations should be in the essay. So I have to work around it...
Never mind I found a way to describe it - Thx though.