All categories

2 years ago

Solve the following equation for x, in terms of a and b. ax = 15 + bx

Mathematics

1 answer:

charle [14.2K]2 years ago

8 0

Value of x will be $x=\frac{15}{a-b}$ .

Equation given in the question → $ax=15+bx$

To find the value of 'x' in terms of a and b, we will simplify the given equation,

$ax=15+bx$

$ax-bx=(15+bx)-bx$

$x(a-b)=15$

$x=\frac{15}{a-b}$

Therefore, Values to filled → Blank 1 = 15

Blank 2 = (a - b)

Learn more,

brainly.com/question/14318220

You might be interested in

Solve for x.<br> х<br> G<br> 9<br> 3

mash [69]

Ttthe said she had no reason why he would be able answer that he had been in ,.....

6 0

2 years ago

Help! ASAP!!!

solniwko [45]

Answer:

7.2 units

Step-by-step explanation:

Coordinates of city A = (0, 0)

Coordinates of city B = (6, 4)

Use the distance formula to find the distance between the two cities as follows:

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(0, 0) = (x_1, y_1)$

$B(6, 4) = (x_2, y_2)$

Plug in the values into the formula

$AB = \sqrt{(6 - 0)^2 + (4 - 0)^2}$

$AB = \sqrt{(6)^2 + (4)^2}$

$AB = \sqrt{36 + 16} = \sqrt{52}$

$AB = 7.2$ (nearest tenth)

6 0

3 years ago

Bryan drives 70 mph down the interstate write an equation to represent the distance y if he drives x hours

dezoksy [38]

(

)

(

)

(

)

(

)

7 0

2 years ago

Give B= {a,l,g,e,b,r} and C={m,y,t,h} find B U C

masha68 [24]

The union of a collection of sets is the set of all elements in the collection.

We have B = {a, l, g, e, b, r} and C = {m, y, t, h}

6 0

2 years ago

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 $\boxed{ \sf{3}}$

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ 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 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<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