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
iren [92.7K]
3 years ago
11

Solve the system using substitution.

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

Given: The following system:

4x + y − 2z=18          ......[1]

2x-3y+3z = 21          ......[2]

x-3y=6                      ......[3]

we can write equation [3] as;

3y = x-6                     ......[4]

Multiply by 3 in equation [1] to both sides of an equation we get,

3 \cdot(4x+y-2z)= 3\cdot 18 or

12x+3y-6z=54              ......[5]

Substituting the equation [4] in [2] and [5] we get;

2x-(x-6)+3z=21 or

2x-x+6+3z=21

Simplify:

x+3z=15            .....[6]                       [combine like terms]

12x+x-6-6z =54

Simplify:

13x-6z=60         ......[7]        [Combine like terms]

On Solving equation [6] and [7] simultaneously,

x+3z=15

13x-6z=60

we get the value of x

i.e, x=6

Substitute the value of x in equation x+3z=15  we get

6+3z=15 or

3z=9

Simplify:

z=3

Also, substitute the value of x=6 in equation [3] we get the value of y;

x-3y=6

6-3y=6 or

-3y = 0

Simplify:

y = 0

Therefore, the solution to the system of three linear equation is, (6, 0 , 3)


You might be interested in
Order from least to greatest [-2,4,23,-1,5,-3,6] absolute number
mihalych1998 [28]

Answer:

-3 < -2 < -1 < 4 < 5 < 6 < 23

Step-by-step explanation:

Im really sorry if im wrong

4 0
3 years ago
Can someone help with Geometry
wel
I believe it is the final choice because it correctly compares 2 sets of corresponding sides.
4 0
3 years ago
Fiona wrote the linear equation y = 2/5x -5
postnew [5]

Answer:

i think it is answer choice 2

Step-by-step explanation:

it is the only answer that works with the reciprocal

4 0
3 years ago
A work shift for an employee at a restaurant consist of 10 hours. What fraction of employees work shift is represented by 8 hour
svp [43]

Answer:

4/5

Step-by-step explanation:

10:100=8:x

x= 100*8/10

x= 80   (80%)

80% = 80/100 = 8/10 = 4/5

4 0
3 years ago
What's the converse of the statement "if it is snowing, then it is my birthday"
Drupady [299]

The converse would be "If it is my birthday, then it is snowing."

5 0
3 years ago
Other questions:
  • A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
    11·1 answer
  • Help urgent please!!!! Will mark brainlist
    6·2 answers
  • 25 is 32% of what number?
    10·2 answers
  • What is the greatest number that will go into 75 and 96
    13·2 answers
  • 0.24 + 4.25 equals what ?
    13·2 answers
  • Is 2/3 equivalent to 1/9
    12·1 answer
  • I NEED HELP WITH THIS!
    15·1 answer
  • A circle has a center at (4, -7) and a radius of 4 units. What is the equation of this circle?
    13·1 answer
  • Ausbin decides to use khan academy
    14·2 answers
  • Connie Gibbs collected a $2,000 bonus for her department's safety record for the year (52 weeks). During that year, Gibbs worked
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!