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
Liula [17]
2 years ago
12

What is the solution to 3(–3x + 9) = −18?

Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3)  Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6)  Solve the 2nd equation:  - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18  does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

You might be interested in
What is the y intercept of the function f(x)=2•3^x
kykrilka [37]

Answer:

\boxed{Option \ A}

Step-by-step explanation:

f(x) = 2*3^x

y intercept is when x = 0

So, Putting x = 0 in the above function

=> f(0) = 2*3^0

=> f(0) = 2*1

=> f(0) = 2

So, y-intercept is (0,2)

5 0
3 years ago
Read 2 more answers
Solve the system algebraically. Check your work.
Luden [163]

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10     (1)

And 3x+2y=63x+2y=6      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30      (3)

15x+10y=3015x+10y=30      (4)

Now subtract  (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

8 0
3 years ago
Tell whether it is possible to draw a triangle with the given side lengths.
expeople1 [14]

Answer:

A.

Step-by-step explanation:

Since the 2 shorter sides are greater than the longest side when added, it meet the triangle inequality thoerem. Triangle Inequality Theorom: The longest side of a triangle is less then the 2 shorter sides added.

4 0
3 years ago
A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?
lina2011 [118]

Answer:

140 ml

Step-by-step explanation:

60/3  =  20

20x7 = 140

8 0
2 years ago
There are 25 students in a class at the beginning of the school year and the average number of siblings for each student is thre
Zigmanuir [339]

Answer:  Yes. The new average is 3

<u>Step-by-step explanation:</u>

25 students at 3 siblings each = 75 siblings

26 students has 75 siblings + 8 siblings = 83 siblings

New average is 83 siblings ÷ 26 students = 3.19 siblings per students

5 0
3 years ago
Other questions:
  • 6 is a solution of -5x-8x=13<br>true or false​
    11·1 answer
  • Need help with Part B.
    10·1 answer
  • Kevin bought 4 pizzas to share with friends. If each person has 2/3 of a pizza how many friends can have pizza?
    11·1 answer
  • Which function is shown in the graph below?
    9·1 answer
  • Complete A,B for 2,3 for 12 points
    9·2 answers
  • Which table correctly shows all the sample spaces for tossing a coin to get heads and rolling a number on a six-sided number cub
    9·2 answers
  • PLEASE HELP BRAINLIEST PLUS POINTS!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Second piece help ASAPP..
    10·2 answers
  • I need help with this please
    9·1 answer
  • Solve for x in the diagram below (plz no links)<br>​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!