All categories

3 years ago

Really confused, can someone help me?

Mathematics

1 answer:

lawyer [7]3 years ago

3 0

First Answer:

x = 12

First Step-by-step explanation:

12 + x = -3(4 - x)

12 + x = -12 + 3x

- x - x

—————————

12 = -12 + 2x

+ 12 + 12

—————————

24 = 2x

24/2 = 2x/2

12 = x

Second Answer:

No solution

Second Step-by-step explanation:

2(x - 1/2) = 8 + 2x

2x - 1 = 8 + 2x

+1 +1

—————————

2x = 9 + 2x

- 2x - 2x

—————————

0 = 9

^^ No solution

You might be interested in

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

3 0

1 year ago

PLZ HELP!!! WILL GIVE BRAINLIEST!!! State whether each conditional is true or false. Write the contra positive for the condition

Elena-2011 [213]

Step-by-step explanation:

True
False
Hope it is helpful

6 0

3 years ago

Read 2 more answers

Please help me guys with this problem.

Anna71 [15]

I think the answer is 152 but I’m not 100% sure

7 0

3 years ago

Read 2 more answers

Which ratio is equivalent to 4 : 13?

Nana76 [90]

B would be the correct answer. If you take 4:13 in order to form a ratio equal to that you have to multiply both sides of the ratio by the same number. 4*4=16 and 13*4=52

5 0

3 years ago

Read 2 more answers

Ann and betty shared a sum of money in the ratio 2 : 3. ann received $120. what was betty's share?

WINSTONCH [101]

Answer:

Betty got $180

Step-by-step explanation:

If its 2:3 and 2 is 120, that means 120/2 equals 60. 60*3=180

4 0

3 years ago

Read 2 more answers