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
ANEK [815]
3 years ago
14

Which equation has the solution x = 3?

Mathematics
1 answer:
arsen [322]3 years ago
8 0
Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

-7x + 6 = 12 - 5x

Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12

Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

-2x + 6 = 12
-6 -6
____________
-2x = 6

Finally, divide by -2 on each side, to find out what the value of 'x' is:

-2x = 6
÷-2 ÷-2
________
x = -3

So, the answer is not 'A.'
_________________________________________

Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12

Next, subtract 6 from both sides:

2x + 6 = 12
-6 -6
__________
2x = 6

Finally, divide by 2, on both sides:

2x = 6
÷2 ÷2
__________
x = 3

So, the answer is 'B.'
_________________________________________

3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12

Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

6x + 6 = 12
- 6 - 6
_____________
6x = 6

Now, divide by 6, on both sides:

6x = 6
÷ 6 ÷ 6
_____________
x = 1

So, the answer is not 'C.'
_________________________________________

4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

x + 6 = 17x

Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
-x -x
_____________
6 = 16x

Now, divide by 16, on both sides:

X = 3/8

So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!
You might be interested in
Solve this inequality for x. 81-1 1/5 x <55
katen-ka-za [31]

Answer:

A. x > 21 2/3

Step-by-step explanation:

x is greater than 21 and two thirds

i did the math :]

4 0
3 years ago
When Nabhitha goes bowling, her scores are normally distributed with a mean of 115
frutty [35]

Answer:

By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232

7 0
2 years ago
Find the circumference of the circle.<br> 7 m
Nutka1998 [239]

Answer:

43.96m is the answer

Step-by-step explanation:

circumference of circle=2πr

=2*3.14*7

=43.96m

8 0
2 years ago
Which inequality will have a shaded area below the boundary line?
sergiy2304 [10]
3x + 4y > 12 <span>will have a shaded area below the boundary line</span>
7 0
3 years ago
The radius of a face-off circle on an NHL hockey<br>rink is 15 ft. What is its circumference?​
8090 [49]

Answer:

94.2ft

Step-by-step explanation:

  1. The formula for finding the circumstance is the diameter times pi.
  2. We know the radius. To find the diameter, we double the radius, which would be 30. (2x15=30)
  3. Next, we multiply 30 by pi. (30x3.14). The answer is 94.2.
  4. Thus, the answer is 94.2ft.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve g(-1)=x^2-5x+2
    9·1 answer
  • What happens to a line when it is rotated ?
    7·1 answer
  • When are there no solutions to an inequality?
    9·1 answer
  • W = 3x + 7y solve for y
    10·1 answer
  • 9/10 ÷ 5/10<br> can you please explain?
    15·2 answers
  • What is the value of p?<br><br> A) 55<br><br> B) 45<br><br> C) 35<br><br> D) 125
    6·1 answer
  • A nail manufacturer throws out nails with lengths that are not within 0.05 inch of the mean of the batch. The lengths (in inches
    13·1 answer
  • Response will be saved automatically.
    7·1 answer
  • Helppp I will mark brainliestttt
    15·1 answer
  • Can someone explain to me why you flip the reciprial
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!