When the equation a – bx = cx + d is solved for x, the result is x = .Use the general solution to solve 5 – 6x = 8x + 17.

Answers

Answer 1
Answer:

The value of x in the equation a – bx = cx + d is = a - d / c + b

The value of x in the equation  5 – 6x = 8x + 17 is - 6 / 7

a - bx = cx + d

add bx to both sides of the equation

a - bx + bx = cx + bx + d

a = cx + bx + d

subtract d form both sides of the equation

a - d = cx + bx + d - d

a - d = cx + bx

Distributive law:

using distributive law on the right side of the equation

a - d = x (c + b)

divide both sides by (c + b)

Therefore,

x = a - d / c + b

Let's use the same method to solve 5 – 6x = 8x + 17

5 – 6x = 8x + 17

add 6x to both sides

5 – 6x  + 6x= 8x + 6x + 17

5 = 14x + 17

subtract 17 from both sides

5 - 17 = 14x + 17 - 17

-12 = 14x

divide both sides by 14

x = -12 / 14

x = - 6 / 7

learn more on equations here: brainly.com/question/7838122


Related Questions

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. For how many movie rentals will the cost be the same at both book clubs? What does that cost?
Simplify (-80/-20)-44-4040
In 1975 the price of gasoline per gallon was 52.5 cents. With the 1975 price as the reference value, the gasoline price index for 1998 is 192.4. What was the cost of a gallon of gasoline in 1998?
Which of the following represents x = 1/3y written in general form?1/3x - y = 03x - y = 0x - 1/3y = 0
Convert 35/8 to a decimal using long division1. 0.2285715 2. 2.29 3. 4.225 4. 4.375

a dog weighs 44 pounds and the veterinarian thinks i needs to lose 7 pounds. Milkala wrote the equation x+7 to represent the situation. Kirk wrote the equation 44- x = 7. Which equation is correct? can you write another equation that represents the situation?

Answers

so assuming that you meant that the dog needs to lose 7 pounds
the equation should be
44-7=x
where x represents the dog's ideal weight

x+7 means 7 more pounds
44-x=7 means that 44 minus the ideal weight is 7
this can be reweiten as 44-7=x so this is correct


Kirk is correct
another equation is 44-7=x

Hmmm I don't think either is correct.

So he weighs 44 pounds, and needs to lose 7 pounds

44 - 7 = x

where x is the dog's new weight.

What’s the triangle congruence shortcut

Answers

Answer:

Side-Side-Side [SSS]

Step-by-step explanation:

You know this since the little bars sticking outside of the triangle show that those 2 lines are congruent. Then you know of one line being the same for both, so you then know all of the sides. And since all of the side lengths are equal, this triangle is congruent by Side-Side-Side.

Can anyone help me please?
What is
21 times x = 7

Answers

Answer:

x = 1/3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other:

21x = 7

Divide 21 from both sides:

(21x)/21 = (7)/21

x = 7/21

x = 1/3

x = 1/3 is your answer.

~

Answer: is 3 unless you mean that the x=7 if you mean that then it would be 147

Patrick owns an apartment building. He knows that the money he earns in a month depends on the rent he charges. The relationship can be modelled by E=1/50R(1650-R), where E is Patrick's monthly earnings, in dollars, and R is the amount of rent, in dollars, he charges each tenant. if Patrick wants to earn at least $13000, between what two values should he set the rent?

Answers

E=13,000 andE=1/50R(1650-R)


0.02R(1650-R)=13000

(0.02R)(1650)-0.02R²=13000

0.02R²-33R+13000=0

R2-1650R+650000=0

SOLVE W QUAD FORMULA

Find the value of x. Your answer must be exact.
X
12.
600
X=

Answers

Answer:

x = 6√3

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use sine

sin ∅ = opposite / hypotenuse

From the question

The hypotenuse is 12

The opposite is x

Substitute the values into the above formula and solve for x

That's

\sin(60)  =  (x)/(12)

\sin(60)  =  ( √(3) )/(2)

x =  ( √(3) )/(2)  * 12

We have the final answer as

x = 6√3

Hope this helps you

What is the fifth term of a sequence whose first term is 5 and whose common ratio is 3?A. 243
B. 405
C. 1,215

Answers

The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.

What is a geometric sequence?

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The first term is 5 and its common ratio is 3. Then the formula is given as,

aₙ = 5 · (3)ⁿ⁻¹

The fifth term of a sequence will be given as,

a₅ = 5 · (3)⁵⁻¹

a₅ = 5 · (3)⁴

a₅ = 5 · 81

a₅ = 405

The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.

More about the geometric sequence link is given below.

brainly.com/question/11266123

#SPJ2

a=first term
r=common ratio
n=the term 
a(5)=5*3(5-1)
a(5)=5*81
a(5)=405
The answer is B)