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
Zielflug [23.3K]
2 years ago
11

Solve the system of linear equations by substitution x=17-4y y=x-2

Mathematics
1 answer:
Zigmanuir [339]2 years ago
6 0

9514 1404 393

Answer:

  (x, y) = (5, 3)

Step-by-step explanation:

We can use the second equation to substitute for y in the first.

  x = 17 -4(x -2)

  5x = 25 . . . . . . . . eliminate parentheses, add 4x

  x = 5

  y = 5 -2 = 3

The solution is (x, y) = (5, 3).

You might be interested in
A bathtub can hold up to 110 gallons of water. The bathtub now contains 78
Irina18 [472]

Answer: (B) 30 gallons.

Step-by-step explanation: Lets subtract 110 - 78 to find the maximum amount of additional water, w that can be added to the tub.

110 - 78 = 32.

round 32 to 30.

So, a reasonable value would be 30 gallons.

7 0
3 years ago
Read 2 more answers
What is -x^2+12x-32 in standard form?
Shtirlitz [24]
<span>(<span><span>−x</span>+4</span>)</span><span>(<span>x−8</span><span>) is the simplest form.</span></span>
8 0
3 years ago
Using identity evaluate: (104)²​
SOVA2 [1]

Answer:

104×104=10816

Step-by-step explanation:

104²=104×104

=10816

8 0
2 years ago
What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?
Daniel [21]
Our angle teta is:
teta = 3pi/4

since that is larger than pi/2 but less than pi that means that our angle lies in II quadrant (x negative y positive)

sin(3pi/4) = √2/2
cosine and tangent of that angle must be negative because of position of the angle.

cos(3pi/4) = -√2/2
tan(3pi/4) = -1
7 0
3 years ago
HELP ASAP PLZZZZ
Tcecarenko [31]
QUESTION 1

The given system of equations is

3d - e = 7...eqn(1)
d + e = 5...eqn(2)

To solve by linear combination, we add equation (1) to equation (2) to get,

3d  + d= 7 + 5


4d = 12


We divide through by 4 to obtain,


d =  \frac{12}{4}


d = 3


We put d=3 into equation (2) to get,



3+ e = 5


e = 5 - 3


e = 2


\boxed {The \: solution \: is  \: (3, 2)}



QUESTION 2


The given system is

4x + y = 5 ...eqn(1)

3x + y = 3 ...eqn(2)


To solve by linear combination, we subtract equation (2) from equation (1) to eliminate y from the equation.

This will give us,

4x - 3x = 5 - 3



This implies that,

x = 2


Put x=3 into equation (1) to get,

4(2) + y = 5

8+ y = 5


y = 5 - 8



y =  - 3

The solution is

(2,-3)



QUESTION 3

We want to solve the system;


a – 2b = –2 ....eqn(1)


2a + 2b = 14...eqn(2)

by linear combination.


We need to add equation (1) to equation (2) to eliminate b.


This implies that,

2a + a = 14 +  - 2




Simplify,

3a = 12



Divide both sides by 3 to get,


a = 4
Put a=4 into equation (2) to obtain,



2(4) + 2b = 14


8 + 2b = 14
2b = 14 - 8


2b = 6


b = 3


The ordered pair in the form (a, b) is

(4,3)



QUESTION 4

The given system of equations is


11x + 4y = 18 ...eqn(1)

3x + 4y = 2 ...eqn(2)


We subtract equation (2) from equation (1) to get,


11x - 3x = 18 - 2


8x = 16


x = 2


Put x=2 into equation (2) to obtain,


3(2) + 4y = 2


This implies that,


6 + 4y = 2


4y = 2 - 6


4y =  - 4


y=-1

The correct answer is (2,-1).




QUESTION 5

The given system is ;

2d + e = 8...eqn1

d – e = 4...eqn2


We add the two equations to eliminate e.


This implies that,

2d + d = 8 + 4


3d = 12



We divide both sides by 3 to get,


d = 4


We put d=4 into equation (2) to get,

4 - e = 4

- e = 4 - 4



- e = 0



e = 0


The solution is

(4,0)
7 0
3 years ago
Other questions:
  • Chelsea buys 8 packs of markers. Each pack contains the same number of markers. Chelsea gives 10 markers to her brother. Then, s
    12·2 answers
  • Write an equation of the line that is parallel to the given line y = 2x + 3 and the given point (-4,1).
    13·1 answer
  • Sun Country Bus Lines has 80,000 shares of stock outstanding.
    15·2 answers
  • 220ft and 1700ft the slope
    13·1 answer
  • WILL MARK BRAINLIEST!!!
    8·2 answers
  • Someone pls help me with this questions
    7·1 answer
  • 2a*5a⁷<br>what is this in it's smallest form​
    13·2 answers
  • Can someone help me please
    7·1 answer
  • Which equation can be used to determine the percent of the diagram that one section represents?
    5·1 answer
  • 3 fewer than a number squared and four
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!