MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1

Answer:

Answer:

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

♁Question:Solveforx

15x - 7 = 2 + 12x

♁ Step - by - step explanation

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

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

➛ $\sf{ (3x)/(3) = (9)/(3)}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

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

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

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

☥Verification:

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

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

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

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

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

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

✒ Rules for solving an equation :

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

Related Questions

1)-3a²b² *3a²b5= - 2) (-4 α²b6)³ = 3)-4m³h5.5n².m4= 4) (-3m²² h ²)4
I dont understand how to do thisits factoring quadratics
8 gallons equals how many pints? a. 2 pt. b. 128 pt. c. 32 pt. d. 64 pt.
An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?
Mom buys a rectangular rug with an area of 7 1/6 square meters. The length of the rug is 3 1/3 meters. What is the width of the rug?

For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.P(3, 11) and M (0, 0)

Answers

Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:

Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint

Midpoint = ( (a+c)/2 , (b + d)/2 )

From the formula: (a+c)/2 = e ; (b + d)/2 = f

Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:

(a+c)/2 = e
(3 + c)/2 = 0
c = -3

(b + d)/2 = f
(11 + d)/2 = 0
d = -11

Therefore, the coordinates of the other point is Q(-3,-11)

Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5

Answers

remember
you can do anyting to an equaiton as long as you do it to both sidess

distributive property
a(b+c)=ab+ac
commutativ property
a+b=b+a

distribute
3(4x-2)=12x-6

12x-6=9+2x+5
add 6 both sides
12x+6-6=9+6+5+2x
12x+0=20+2x
minus 2x
10x=20
divide 10
x=2

I wrote how to do it on paper and uploaded the files. Hope this helps. :D

The minimum monthly payment for adeline's credit card is 2.5% of her balance or $30, whichever is higher. if adeline's balance at the end of her last billing cycle was $1550, what is her minimum monthly payment?

Answers

Answer:

Minimum monthly payment will be $ $38.75\n$

Step-by-step explanation:

Minimum monthly payment at the rate of $2.5\n$ %

$= (2.5)/(100) * 1550\n= 38.75\n$

Out of $ $30$ or $ $38.75\n$ , $ $38.75\n$ is large, thus it will be the minimum monthly payment.

$1550x.025= 38.75
Answer: 38.75

Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far. if f= the number of feet remaining, which graph best shows this situation?

Answers

Right answer is B. If we have f equal the amount of her remaining way so f it will be the difference between the way she has gone and her finish line. So we have 70 in the approximate middle of her way and F is between 70 feet and 105 feet, so 105=70+F

Answer:

Option B is the right answer.

Step-by-step explanation:

Given is - Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far.

This means Alexandra has covered 70 feet and final point is 105 feet.

f is the remaining distance;

So, $105=f+70$

So, option B is the right answer.

2. Over five years, Jerome grew from a height of 47 inches to a height of 66 inches. Which ofthe following represents Jerome's growth rate during these five years?

(1) 3.8 inches per year
(2) 4.25 inches per year
(3) 4.6 inches per year
(4) 4.75 inches per year

(quick pls)

Answers

Answer:

answer is 3.8 inches per year

Select the correct answer from the drop-down menu.Consider the absolute value function /x)=-+2-2.
The vertex of the function is
Reset
Next

Answers

Answer:

(-2, -2)

Step-by-step explanation:

Compare the two functions ...

f(x) = -|x +2| -2

f(x) = a·g(x -h) +k

where f(x) is a translation and scaling of function g(x). Here, you have ...

g(x) = |x|

The scale factor is a = -1.

The horizontal shift is h = -2.

The vertical shift is k = -2.

_____

The original vertex at (0, 0) has been shifted by (h, k) to ...

(0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

I took a test and got it right

Other Questions

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Check all that apply.________ – 5xy3 + 9x2y *0 *5xy^3 *9x^2 y *8y^4 *4xy^3

the arrival rate is 9 / hour and the service rate is 14 / hour. the arrival and service distributions are not known so we can't use the m/m/1 formulas. if the average waiting time in the line is 24 minutes, then what is the length of the line?

Write the number in standard notation 6.43 x 10 ^-4

choose the equation below that represents the line that passes through the point (−2, −1) and has a slope of 5. (5 points) y − 1 = 5(x − 2) y 1 = 5(x 2) y 2 = 5(x 1) y − 2 = 5(x − 1)