All categories

3 years ago

Which of the following describes a correct process for solving the equation 3(x + 6) = 21 and arrives at the correct solution?

Mathematics

2 answers:

Gnoma [55]3 years ago

6 0

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

wolverine [178]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

multiply 3 with (x+6) resulting into 3x+18=21

cross-multiply and divide through by 3.

There u go

You might be interested in

Solve 3(x-4)=-5 for x. Justify each step

igor_vitrenko [27]

3x - 12 = -5 plus 12
3x-12 +12 = -5+12
3x = 7 devision by 3
3x/3 = 7/3
x= 2,3333333333 =~ 2,3

4 0

3 years ago

Helphelphelphelphelp

kherson [118]

Answer:

Step-by-step explanation:

AHHHHHHHHHHHHHHHHHHHHH

8 0

3 years ago

Read 2 more answers

What is the value a and b in The equation a(3x -8)=b-18x

Misha Larkins [42]

Answer:

$a=\frac{b-18x}{3x-8}\\b=3ax-8a+18x$

Step-by-step explanation:

Solving for A:

$a(3x-8)=b-18x$ - Given

$\frac{a(3x-8)}{(3x-8)}=\frac{b-18x}{(3x-8)}$ - Divide both sides by 3x-8 to isolate a

$a = \frac{b-18x}{3x-8}$ - Simplify

Solving for B:

$a(3x-8)=b-18x$ - Given

$3ax-8a=b-18x$ - Distribute the parenthesis (distributive property)

$3ax-8a+18x=b$ - Add 18x to both sides to isolate b

5 0

4 years ago

Which value of x from the set {4, 5, 6, 7}, makes this equation true? 4(8 − x) = 8

Scrat [10]

4(8 - x) = 8
32 - 4x = 8
-4x = -24
x = 6

3 0

3 years ago

(04.02 MC)

lesya [120]

Answer:

The equation in standard form is:

Rx+Py = -PR

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given

The y-intercept (0, -R)

The x-intercept (−P, 0)

Finding the slope between (0, -R) and (−P, 0)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-R\right),\:\left(x_2,\:y_2\right)=\left(-P,\:0\right)$

$m=\frac{0-\left(-R\right)}{-P-0}$

$m=-\frac{R}{P}$

Thus, the slope between (0, -R) and (−P, 0) is:

$m=-\frac{R}{P}$

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We are given the y-intercept point (0, −R).

Thus, y-intercept b = -R

so substituting b = -R and $m=-\frac{R}{P}$ in the slope-intercept form to determine the line of the equation

$y = mx+b$

$y=-\frac{R}{P}x\:+\:\left(-R\right)$

$y=-\frac{R}{P}x\:-R$

So, the slope-intercept form of the line equation is:

$y=-\frac{R}{P}x\:-R$

Converting the slope-intercept form of the line equation into standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

$y=-\frac{R}{P}x\:-R$

so converting into standard form

Multiply the equation by P

Py = -Rx - PR

Add -Rx to both sides

Rx+Py = -Rx - PR + -Rx

Rx+Py = -PR

Therefore, the equation in standard form is:

Rx+Py = -PR

5 0

3 years ago