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
34kurt
2 years ago
6

Solve the system of equations by the substitution method: 4x-y = 35 7x + 6y = 38

Mathematics
1 answer:
Leokris [45]2 years ago
8 0

Answer:

x=8 and y=−3

You might be interested in
Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h
In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0
3 years ago
Write the expression as one<br> involving only sin x and cos x.<br> sin 2x + cos x
AfilCa [17]

Answer:

sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x

Step-by-step explanation:

Given the expression: sin 2x + cos x,

then we can use the formula: sin 2x = 2 sin x cos x, which gives:

sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x

So there you have two expressions in terms of sin x and cos x, as requested. :D

6 0
1 year ago
Can someone please help me with this question ASAP
Lana71 [14]

Answer:

  • x - 7.31 ≤ 10
  • x ≤ 17.31

Step-by-step explanation:

let x = the amount of money in the second piggy back

We assume that the second piggy bank has MORE than the piggy bank with $7.31 in it:

x - 7.31 ≤ 10

<u>Solution</u>

Add 7.31 to both sides:  x - 7.31 + 7.31 ≤ 10 + 7.31

                                                       ⇒ x ≤ 17.31

8 0
2 years ago
Help me out please!!!!
Rama09 [41]

Answer:

the line starts on (0,3) then you go down 7 points then you go 3 to the right that's thew answer

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
4x-5y=-3
tresset_1 [31]
4x - 5y = -3  ⇒ 1st equation
2x + 3z = 4  ⇒ 2nd equation
3y - z = 8     ⇒ 3rd equation

find the value of z.

3y - z = 8
- z = 8 - 3y
z = (8 - 3y) / -1
z = -8 + 3y

Substitute z with its value in the 2nd equation:
2x + 3z = 4
2x + 3(-8 + 3y) = 4
2x - 24 + 9y = 4
2x + 9y = 4 + 24
2x + 9y = 28

find value of x
2x + 9y = 28
2x = 28 - 9y
x = (28 - 9y)/2
x = 14 - 9y/2

Substitute the value of x in 1st equation
4x - 5y = -3
4(14-9y/2) - 5y = -3
56 - 36y/2 - 5y = -3
- 36y/2 - 5y = -3 - 56
- 36y/2 - 5y = - 59
2(-36y/2 - 5y) = 2(-59)
-36y - 10y = -118
-46y = -118
-46y/-46 = -118/-46
y = 2 26/46
y = 2 13/23  

x = 14 - 9y/2
x = 14 - 9 (2 13/23) /2
x = 14 - 9 (59/23) / 2
x = 14 - 531/23 / 2
x = 14 - 531/23 * 1/2
x = 14 - 531/23*2
x = 14 - 531/46
x = (14*46/46) - 531/46
x = 644/46 - 531/46
x = (644-531)/46
x = 113/46
x = 2 21/46

z = -8 + 3y
z = -8 + 3(2 13/23)
z = -8 + 3(59/23)
z = -8 + 177/23
z = (-8*23/23) + 177/23
z = -184/23 + 177/23
z = (-184 + 177)/23
z = -7/23

x = 2 21/46 ; y = 2 13/23 ; z = -7/23

4x - 5y = -3
4(113/46) - 5(59/23) = -3
452/46 - 295/23 = -3
9.826 - 12.826 = -3
-3 = -3

2x + 3z = 4
2(113/46) + 3(-7/23) = 4
226/46 - 21/23 = 4
4.913 - 0.913 = 4
4 = 4

3y - z = 8
3(59/23) - (-7/23) = 8
177/23 + 7/23 = 8
7.696 + 0.304 = 8
8 = 8 

8 0
2 years ago
Other questions:
  • What is 66 rounded to the nearest ten and hundred
    9·2 answers
  • I'm so confused please help!!!! ( It's not A )
    7·1 answer
  • The perimeter of a​ standard-sized rectangular rug is 2424 ft. the length is 22 ft longer than the width. find the dimensions.
    12·1 answer
  • Volume of triangle prism 25 *** very easy
    14·2 answers
  • Indicate the method you would use to prove the twoA's *. If no method applies, enter "none".
    10·1 answer
  • I didn’t get how to do it
    12·1 answer
  • Which equation is in slope-intercept form and has a y-intercept of -2?
    6·1 answer
  • Can you please help me with this problem.
    11·1 answer
  • In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Oliv
    10·1 answer
  • Please take a look at the picture
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!