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15x-7=2+12x I need help with this

Amanda [17]

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 3}}}}$

<h3>♁ Question : Solve for x</h3>

15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>

$\text{15x - 7 = 2 + 12x}$

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛ $\sf{15x - 12x - 7 = 2}$

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛ $\sf{15x - 12x = 2 + 7}$

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛ $\sf{3x = 2 + 7}$

Add the numbers : 2 and 7

➛ $\sf{3x = 9}$

Divide both sides by 3

➛ $\sf{ \frac{3x}{3} = \frac{9}{3}}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

The value of x is $\boxed{ \sf{3}}$

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☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

$\sf{15x - 7 = 2 + 12x}$

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

$\dashrightarrow{ \sf{45 - 7 = 2 + 36}}$

$\dashrightarrow{ \sf{38 = 38}}$

L.H.S = R.H.S ( Hence , the value of x is 3 ).

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<h3>✒ Rules for solving an equation :</h3>

If an equation contains fractions ,multiply each term by the L.C.M of denominators.
Remove the brackets , if any.
Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
Simplify and get the single term on each side.
Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0

2 years ago

Which of the following are incorrect expressions for slope?

vfiekz [6]

Answer:

Option B and C are correct.

$\frac{x_2-x_1}{y_2-y_1}$

$\frac{run}{rise}$ are the expression incorrect for slope

Step-by-step explanation:

Slope is defined as the change in the dependent variable relative to the change in the dependent variable

or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.

The vertical changes between any two points is rise

The horizontal changes between any two points is run.

Formula for slope is given by:

For any two points $(x_1, y_1)$ and $(x_2, y_2)$

then slope is:

$\text{Slope} =\frac{rise}{run}= \frac{y_2-y_1}{x_2-x_1}$

or we can write this as:

Δy = $y_2-y_1$

Δx = $x_2-x_1$

⇒ $\text{Slope} = \frac{\triangle y}{\triangle x}$

Therefore, the expression which are incorrect for slope are;

$\frac{x_2-x_1}{y_2-y_1}$

$\frac{run}{rise}$

8 0

3 years ago

Read 2 more answers

Solve the equation.<br> 5(x-3) - 10 = 0<br> X=

ss7ja [257]

Answer:

x = 5

Step-by-step explanation:

Report if wrong

-Stylez-

6 0

3 years ago

36x+72xy+27xy factor the expression.

nexus9112 [7]

Answer:

9x(4+8y+3y)

Step-by-step explanation:

36x+72xy+27xy

9x(4+8y+3y)

4 0

3 years ago

HELP HELP ME PLEASE!!!

Harman [31]

Use the cone formula:
$V = \pi r^{2} \frac{h}{3}$
And so:
$Area = \pi * 150^{2} * \frac{240}{3} = 5654866.7 inches^{2}$
5654866.7 / 12000 = 471,
So the answer is 471 weeks.

Hope this helps.

7 0

3 years ago

Read 2 more answers