Question

Somebody help with 1 & 2..Help solve for x

Answer 1

Answer:

x = 574 and x = - $\frac{3}{4}$

Step-by-step explanation:

(1)

0.25x = 143.5 ( isolate x by dividing both sides by 0.25 )

x = 574

(2)

- 4x + $\frac{1}{2}$ = 3 $\frac{1}{2}$ ( subtract $\frac{1}{2}$ from both sides )

- 4x = 3 ( divide both sides by - 4 )

x = - $\frac{3}{4}$

Answer 2

#1. 0.25x = 143.5

x = 574, How did I get this answer? I simply divided 143.5 by 0.25 and you get 574, which will be the missing number (also known as x.)

But, before you write this down as your answer - how can we check if 574 is correct?

Well we're going to have to do the reverse of dividing, which'll be multiplying.

Multiply 0.25 by 574! (It does equal 143.5), Therefore, you have checked your answer and now you know it is correct.

#2. -4x + $\frac{1}{2}$ = 3

This equation simplifies to $\frac{2x-1}{4} = \frac{7}{2}$. Let's go on ahead and figure this problem out step-by-step!

First, we have to cross multiply. As shown here:

(2x-1) × (2) = 7 × 4x

4x - 2 = 28x

After that, we're going to have to subtract 28x from both sides of the equation.

4x - 2 - 28x = 28x - 28x

-24x - 2 = 0

Next, add 2 to both of the sides.

-24x - 2 + 2 = 0 + 2

- 24x = 2

On your last step before finding out what x is, the final thing we've got to do is divide both sides by -24.

$\frac{-24x}{24} = \frac{2}{-24}$

x = $\frac{-1}{12}$. This is your solution for #2.

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