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
BARSIC [14]
3 years ago
10

Describe how to solve any equation in the form ax + b = c for the variable x. ​

Mathematics
2 answers:
IRINA_888 [86]3 years ago
3 0

Subtract b from both sides: ax=c-b

Divide both sides by a: x=(c-b)/a

Hope this helped

USPshnik [31]3 years ago
3 0

Explanation:

To solve any equation that is linear in the variable of interest, you first look at what is done to the variable, using the Order of Operations as your guide.

Here, the variable is ...

  • multiplied by "a"
  • the product has "b" added to it.

You find the value of the variable by reversing these steps, starting from the last one on the list and working up the list.

To "undo" the addition of "b", we add its opposite (-b) to the equation. The rules of equality tell you that anything you do to one side of the equation must also be done to the other side, so we add -b to both sides:

  ax +b -b = c -b

  ax = c -b . . . . . . . . simplify

To "undo" the multiplication by "a", we multiply by its reciprocal. That is, we multiply by 1/a, or, equivalently, divide by "a". Again, we must do this to both sides of the equation:

  (1/a)ax = (1/a)(c -b)

  x = (c -b)/a . . . . . . . simplify

__

In short, we subtract the added constant (b) and divide by the multiplier (a).

You might be interested in
Which statement about rational numbers is true?​
Misha Larkins [42]

Answer:

D: All fractions containing integers are rational numbers.

7 0
3 years ago
Read 2 more answers
Question 4 plz show ALL STEPS
scoray [572]

Part (a)

Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

g( f(-1) ) = g( 4 ) = 4

To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

<h3>Answer:  4</h3>

==========================================================

Part (b)

We use the same idea as part (a)

f(-2) = 5

g( f(-2) ) = g(5) = 6

<h3>Answer:  6</h3>

==========================================================

Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

g(1) = -2

f( g(1) ) = f(-2) = 5

<h3>Answer:   5</h3>

==========================================================

Part (d)

Same idea as part (c)

g(2) = 0

f( g(2) ) = f( 0 ) = 3

<h3>Answer:  3</h3>

6 0
3 years ago
What is linear expansivity?
katrin [286]
Its a type of thermal expansion and described by fractions that represents the fractional increase length of a thin beam of a material exposed to its temperature increase of one degree celcious,"
4 0
3 years ago
China's population is 1.446×10^9 . Marshall Island's population is 6.025×10^4 .
skad [1K]
This is 1.446 * 10^9  /  6.025 * 10^4  =  0.24 * 10^5  = 2.4 * 10^4 Answer
5 0
3 years ago
Mr martinez sells a car for $15,400. how much does he earn with a 1.5% commission
spayn [35]
It would be 15400*0.015=How much he will make
3 0
3 years ago
Read 2 more answers
Other questions:
  • Plz help me answer this it is solving combinations
    10·1 answer
  • Type an ordered pair: <br> 2x-y=69<br> 4y=x
    9·1 answer
  • Can anyone answer these questions? Look at picture
    5·1 answer
  • What is the value of the digit 9 in the number that show kari's mass
    14·1 answer
  • Jada can bake 12 cookies in 30 minutes. at this rate, how long will it take her to bake 144 cookies?
    8·1 answer
  • What is the difference between constructing a regular hexagon and constructing an equilateral triangle?
    11·2 answers
  • I WILL GIVE BRAINLIEST!!!
    13·1 answer
  • Simplify the expression below (2x)^3/4 • (2x)^4/3​
    10·1 answer
  • Answer the following equation
    10·1 answer
  • 3(5m + 2) - 20m - 14 + 5
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!