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
xenn [34]
2 years ago
12

Solve t/he system of linear equations given by x + y = 1 and ax − by = c, where a, b, c are real numbers. Note: The solution in

this case will not be numbers but formulas containing a, b, and c. Need help ASAP!!
Mathematics
1 answer:
Phantasy [73]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + y = 1 → (1)

ax - by = c → (2)

In (1) subtract y from both sides

x = 1 - y → (3)

Substitute x = 1 - y into (2)

a(1 - y) - by = c ← distribute left side

a - ay - by = c ( subtract a from both sides )

- ay - by = c - a ( multiply through by - 1 )

ay + by = a - c ← factor out y from each term on the left side

y(a + b) = a - c ← divide both sides by (a + b)

y = \frac{a-c}{a+b} ← substitute into (3)

x = 1 - \frac{a-c}{a+b} = \frac{a+b}{a+b} - \frac{a-c}{a+b} = \frac{a+b-a+c}{a+b} = \frac{b+c}{a+b}

You might be interested in
1. 350 is 70% of what number?
Brums [2.3K]
1. a
2. d
3.b
4.c

msg me if u need explanations
4 0
3 years ago
Read 2 more answers
Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.
Rudik [331]
The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!
6 0
3 years ago
What is the range of this function?
Bad White [126]

The range is the set of all y-coordinates.

R = {2, 6, 8}

4 0
3 years ago
The temperature in Chicago, Illinois, was recorded one night. Over a three-hour span, the temperature fell 12ºF. What integer re
Fynjy0 [20]

Answer:

The answer to the problem is -4   the other answer is wrong

I hope I helped you.

4 0
3 years ago
Read 2 more answers
20 points !!! -3/8x-20+2x>6
Semenov [28]

Answer:

x > 16

Step-by-step explanation:

- \frac{3}{8} x -20+2x>6

Add 20 to both sides:

-  \frac{3}{8} x + 2x > 26

Multiply 8 on both sides:

- 3x + 16x > 208

13x > 208

Divide by 13 on both sides:

x > 16

3 0
3 years ago
Read 2 more answers
Other questions:
  • Michael puts 3 beads next to each other on a pice of string to make a bracelet. Each bead has a width of 5/6 inch. Which express
    8·1 answer
  • A sporting goods store is having a sale. A pair of skates normally sells for
    8·1 answer
  • The estimator Yis a random variable that varies with different random samples; it has a probability distribution function that r
    15·1 answer
  • For the lines defined by the following equations indicate with a "V" if they are vertical, an "H" if they are horizontal, and an
    7·1 answer
  • 3(2x-5)+2 8(3x-6) for x=5
    7·1 answer
  • Convert 45 kilograms to grams​
    12·1 answer
  • he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights di
    6·1 answer
  • Plz someone answer this with an explanation
    10·1 answer
  • -8m+28=156-12m please help me !!!!
    11·2 answers
  • Use three of the numbers 3, 4,
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!