1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
4 years ago
10

Solve each equation for the missing variable. If your answer is not an integer, write it as an improper fraction.

Mathematics
2 answers:
Andre45 [30]4 years ago
8 0
To start the problem, you will want to move the numbers with variables and the ones without to the other side, then combine them together so that there is only one thing on each side. Then divide on both sides by the variable's coefficient and you will get your answer. Here is it done for the 1st problem.
5n - 14 = 8n + 4 \\ 5n - 14 - 5n = 8n + 4 - 5n \\  - 14 = 3n + 4 \\  - 14 - 4 = 3n + 4 - 4 \\  - 18 = 3n \\  \frac{3}{3} n =   \frac{ - 18}{6}  \\ n =  - 6
For the second one you will want to start by simplifying everything on both sides since you can combine the constants (numbers without any variables). It should look like this:
- 15 + 4 - 5a =  - 2 + 26 + 30a \\  - 11 - 5a = 24 + 30a
What you can do from here is push constants to one side and variables to the other like before. Here is how it would look:
- 11 - 5a = 24 + 30a \\  - 11 - 5a - 24 = 24 - 24 + 30a \\  - 35 - 5a = 30a \\  - 35 - 5a + 5a = 30a + 5a \\  - 35 = 35a
Once there is only one thing on both side, you can divide both sides by the coefficient (the number attached to a variable) to get the variable alone.
35a =  - 35 \\  \frac{35}{35} a =  \frac{ - 35}{35}  \\ a =  - 1
Thus, a is equal to -1.

For the third problem, it is more of the same type of problem that we have done before. Since there are no multiples of anything (variables or constants) on each side, we can start pushing variables to one side and constants to the others like so:
- 8x + 25 = 3 - 9x \\   - 8x + 9x  + 25 = 3 - 9x + 9x \\ x + 25 = 3 \\ x + 25 - 25 = 3  - 25 \\ x =  - 22
Since x's coefficient is 1, there is no need to divide and your answer is -22.
FromTheMoon [43]4 years ago
4 0

First example:

Subtract the 8n on both sides to get the variable on one side of the equation. Do the same for the regular numbers. Then divide by -3.

5n-14=8n+4\\ \\ 5n-8n=4+14 \\ \\ -3n=18\\ \\ n=-6

This should be your final answer.

Second Example:

Do the same thing as explained in Example 1. Here's some work to help guide you.

-15 - 5a + 4 = -2 + 30a + 26\\ \\ -5a-30a=-2+26+15\\ \\ -35a=39\\ \\ a = \frac{39}{-35}

That should be your final answer here.

Third Example:

3 - 9x = -8x + 25\\ \\ -9x+8x=25-3\\ \\ -x=22\\ \\ x=-22

Hope this helps and its understandable! Let me know if you still don't understand.

You might be interested in
I need help with number 17
zimovet [89]

Answer:

3 planes parallel to FL is EK, CI , BH, AJ

Because, this is prism in which all length segments should be equal .

7 0
3 years ago
Twelve decreased by twice a number is -8. Find the number
drek231 [11]
<h2>Solution :- </h2>

Let the number be "x" , then according to the question :

• 2x - 12 = -8

Further solving

→ 2x = -8 + 12

→ 2x = 4 .

→ x = 2

8 0
3 years ago
Read 2 more answers
Is the following inequality true : 4 &lt;_ 4 ?
marissa [1.9K]

Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

8 0
3 years ago
I need help pizzz ASAP
vredina [299]
I’m on confused on what you have to do?
6 0
3 years ago
3:5 as a ladder methed​
8090 [49]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Can anyone help me out
    10·1 answer
  • HELP 40 POINTS
    14·1 answer
  • chad earns $234 for 36 hoursof work. Geo earns $288 for 40 hours of work. Are the pay rates of these two people proportional?
    11·1 answer
  • Find the area of the following ellipse Use = 3.14 and round to nearest tenth. a = 7 in.; b = 9 in.
    15·1 answer
  • a standard piece of paper is 0.0038 in. thick. How many times would you have to fold it in half for the piece of paper to be thi
    13·1 answer
  • Write the value of the digit 9 on 913,256
    10·2 answers
  • Solve for b<br> −3b+2.5=4<br> Two step equations with fractions and decimals
    6·2 answers
  • Find the volume of the solid below.
    14·1 answer
  • Solve for x using the correct order operations
    9·1 answer
  • X/30 + X/40= 1<br> Solve for x
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!