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]
3 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]3 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
An is a two dimensional diagram that you can fold to form a 3-D figure ?
KonstantinChe [14]
I think this is wrong but square

6 0
3 years ago
PLZ HURRY DIS IS TIMED !!!
raketka [301]

Answer:

Step-by-step explanation:

6 0
3 years ago
Uncle Drew scored 28 points in 5 5/6 minutes during a game of basketball.
GuDViN [60]
About 6.72 points per minute
5 0
4 years ago
Please Help!
RUDIKE [14]

Answer:

1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”

2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified  ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)

3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.

4. this is the symmetric property of equality -  "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY

5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.

6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states  that if  

x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.

i hope this helped!   im not that good at explaining so if u have more questions lmk!          

3 0
3 years ago
Solve 2x - 11 greater than or equal to 5
ololo11 [35]
2x - 11 >_ 5
To solve for x, we need to get 2x by itself and then simplify.

Add 11 to both sides.

2x >_ 16

Divide both sides by 2 to get x.

x >_ 8 is your solution.

I hope this helps!
5 0
3 years ago
Other questions:
  • Geometric mean of 5 and 8 in simplest radical form
    11·1 answer
  • e greater roadrunner bird can run 14 miles per hour. at’s 7 times faster than an ostrich can walk. How fast does an ostrich walk
    13·1 answer
  • Which describes money that is received from a sale of goods or services?
    12·1 answer
  • Joe left the park to go home at 5:00 pm. He was traveling east at 15 mph. Two hours later, Mark left the park heading east to tr
    15·1 answer
  • Fenton is building a model of the living room. The model sofa is 16 inches long and 7 inches deep. The real sofas dimensions are
    12·1 answer
  • 7) A large candy bar was 147 calories. The smaller
    9·2 answers
  • sunnyside park has 3 different playgrounds . each playground has 6 benches . if a flower bed is planted on each side of each ben
    11·1 answer
  • Pls help me on this​
    12·2 answers
  • I need help please someone help me
    8·2 answers
  • A sandwich shop offers wheat or
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!