1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
madam [21]
3 years ago
8

Solve the equation x+3/x-4 = x-5/x+4

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

\large\boxed{x=\dfrac{1}{2}}

Step-by-step explanation:

\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\\\\\text{Domain:}\ x-4\neq0\ \wedge\ x+4\neq0\\\\x\neq4\ \wedge\ x\neq-4\\\\D:x\in\mathbb{R}-\{-4,\ 4\}

\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\qquad\text{cross multiply}\\\\(x+3)(x+4)=(x-4)(x-5)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x)(x)+(x)(4)+(3)(x)+(3)(4)=(x)(x)+(x)(-5)+(-4)(x)+(-4)(-5)\\\\x^2+4x+3x+12=x^2-5x-4x+20\qquad\text{combine like terms}\\\\x^2+(4x+3x)+12=x^2+(-5x-4x)+20\\\\x^2+7x+12=x^2-9x+20\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\7x+12=-9x+20\qquad\text{subtract 12 from both sides}\\\\7x=-9x+8\qquad\text{add}\ 9x\ \text{to both sides}\\\\16x=8\qquad\text{divide both sides by 16}\\\\x=\dfrac{8}{16}\\\\x=\dfrac{8:8}{16:8}\\\\x=\dfrac{1}{2}\in D

You might be interested in
Solve for n: 2n + 3 + 3n = n + 11
Arte-miy333 [17]
N is equal to 2 in the equasion

4 0
3 years ago
Read 2 more answers
Use the graph to answer the question.
yulyashka [42]
The equation (X-4)2 + (y+1)2 = 25 best describes the circle.
3 0
2 years ago
Simplify the sun if possible 3/6+2/6
Inga [223]
3+2=5
6+6=6 just carry over the six
it's at its simplest form

5 0
3 years ago
Read 2 more answers
I'm lazy and dont feel like doing math myself. So pls help me!
vodomira [7]

Answer:

55

Step-by-step explanation:

\frac{n(n + 1)}{2}  \\ n = 10 \\ substitutig \\  \frac{10(10 + 1)}{2} \\ \\   \frac{10(11)}{2} \\  \\  \frac{110}{2}  = 55

6 0
2 years ago
A flat screen TV is on sale for $850, which is 5/7 of its original price. Find the original price
VARVARA [1.3K]

Answer: $1190

Step-by-step explanation: Just divide $850 divided by 5, then add 240 to the $850 to get the regular price!

8 0
2 years ago
Other questions:
  • An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is
    9·1 answer
  • How to do this problem
    12·1 answer
  • Next Tuesday, Cordelia is catering a proposal dinner for her brother. If she wants to serve her macaroni and cheese at this dinn
    13·1 answer
  • a bricklayer needs to order 6300kg of building sand.one grain of this sand weighs 7x10^-5. how many grains of sand are there in
    14·1 answer
  • Subtract 5x ^ 2 + 2x - 11 from 3x ^ 2 + 8x - 7 . Express the result as a trinomial.
    7·1 answer
  • What’s 2(5-6) equal?
    8·2 answers
  • Evaluate the following expressions using the chip method. SHOW ALL WORK!!!
    7·1 answer
  • WILL MARK YOU BRAINLIEST
    11·1 answer
  • Find the values for a, b, and c for this quadratic equation. -3x^2 - 5x = 1​
    9·2 answers
  • Consider f(x) = 4x^3 – 5, g(x) = 2x + 5 and h(x) =2x^2+2x. Which statement about (f + g – h) is true?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!