3 years ago

If 9x + 2a =ac - bx, then x equals

Mathematics

1 answer:

suter [353]3 years ago

3 0

Answer: $x=\bold{\dfrac{a(c-2)}{9+b}}$

Step-by-step explanation:

9x + 2a = ac - bx

9x = ac - bx - 2a subtracted 2a from both sides

9x + bx = ac - 2a added bx to both sides

x(9 + b) = a(c - 2) factored out x from the left and a from the right

$x=\large\boxed{\dfrac{a(c-2)}{9+b}}\\$ divided both sides by 9+b

You might be interested in

Which of the following equations describes the line shown

Arisa [49]

(-4,4) , (2,1)
slope=(y2-y1)/(x2-x1)
slope=m =(4-1)/(-4-2)=-3/6=-1/2
(y-y1)=m(x2-x1)
y-4=-1/2(x+4)
y-1=-1/2(x-2)

A,F

5 0

3 years ago

Scores are 78,81,83, and 76 what must she earn on the fifth test to earn an average test score of 81

iogann1982 [59]

The average value of a data set is equal to the sum of each entry divided by the number of entries. In this case, we have 5 scores, so we can find set up the following equation where x is the fifth score:

$\dfrac{78+81+83+76+x}{5} = 81$

Now solve for x:

$78 + 81 + 83 + 76 + x = 81(5)$

$318 + x = 405$

$x = 87$

The fifth score must be 87.

6 0

2 years ago

Read 2 more answers

. Which of the following statements is not true?

lesantik [10]

Answer:

If x^2 = 1, then x = 1 is NOT true because x can also be -1.

6 0

2 years ago

In the given figure x = 145º. What theorem can be used to prove the lines p and a

Nadusha1986 [10]

Answer: I upl⁣oaded t⁣he a⁣nsw⁣er to a fi⁣le hos⁣ting. Her⁣e's li⁣nk: