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
weqwewe [10]
2 years ago
7

Solve the simultaneous equation 2x+y=22 =12, x + 24+2 = 18, 2x -y +22=16 ​

Mathematics
1 answer:
solmaris [256]2 years ago
3 0

The solution for the simultaneous equations 2x + y - 2z = 12, x + 2y +z =18 and 2x - y + 2z =16 are x = 7, y = 4 and z = 3

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the simultaneous equations?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + y - 2z = 12,

x + 2y +z =18

2x - y + 2z =16

Eliminate y and z in the equations by adding the first and the third equation together

This gives

2x + y - 2z = 12,

+

2x - y + 2z =16

--------------------------

4x = 28

Divide both sides by 4

x = 7

Substitute x = 7 in x + 2y +z =18 and 2x - y + 2z =16

7 + 2y +z =18

2(7) - y + 2z =16

This gives

2y + z = 11

-y + 2z= 2

Multiply -y + 2z= 2 by 2

-2y + 4z= 4

Add -2y + 4z= 4 and 2y + z = 11

5z = 15

Divide by 5

z = 3

Substitute z = 3 in -y + 2z= 2

-y + 2*3= 2

Evaluate

y = 4

Hence, the solution for the simultaneous equations 2x + y - 2z = 12, x + 2y +z =18 and 2x - y + 2z =16 are x = 7, y = 4 and z = 3

Read more about system of equations at

brainly.com/question/14323743

#SPJ1

You might be interested in
What is −300 ÷ (−13) = and how would i write out this problem to solve?
never [62]

Answer:

  23 1/13

Step-by-step explanation:

You have done a pretty good job of writing the problem, negative 300 divided by negative thirteen. It can be translated directly to your favorite calculator (see attachment) for a solution.

If you want to perform the division by hand, the particular method of writing the problem depends on the method of division you want to use. (Several styles are taught these days). Numerous web sites and videos explain <em>long division</em> in all its detail. The second attachment shows an example where a decimal fraction result is obtained. The decimal fraction is an infinite repeating decimal with a 6-digit repeat.

For starters, you would generally convert both numbers to positive numbers, since the result of 300/13 is the same as the result of -300/-13 and positive numbers are easier to deal with.

___

<em>Comment on symbols</em>

(The symbol ÷ generally means the same thing as the symbol /. Both mean "divided by". In some cases, the symbol ÷ is given the meaning "everything to the left of it divided by everything to the right of it." This is often the case when it is used as part of a compound fraction: 3/5÷4/3, for example. The preferred representation of such a division is (3/5)/(4/3), with parentheses clearly identifying numerators and denominators.)

8 0
3 years ago
A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each. What was the total numb
sveticcg [70]

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

6 0
3 years ago
6 m 6 m 19 m Not drawn to scale Find the volume of the triangular prism.
Aloiza [94]
The answer is 3) 324
7 0
3 years ago
Find the distance between A(0,1)and B(-4,6) to the nearest tenth
s344n2d4d5 [400]
The difference between a zero and one, and b negative four and six is negative five and eight

4 0
3 years ago
The interquartile range of this data set
Natali [406]
The interquartile range is 20 you take Q3 in the graph which is 30 and the Q1 in the graph which is 10 then you subtract Q3-Q1 so 30-10 and get 20
6 0
2 years ago
Read 2 more answers
Other questions:
  • A pair of hiking boots originally priced at $170 is on sale for 10% off. What is the sale price of the boots?
    15·2 answers
  • What is the equation (simplified) the inverse of y=2x^2?
    11·1 answer
  • Solve the system of equations
    11·2 answers
  • Rolling a Red and Yellow Dice
    11·1 answer
  • An 8-pack of beaded necklaces costs $7.60. What is the unit price?
    11·1 answer
  • This 3rd and 2nd grade lvl paper dont ask why
    11·2 answers
  • HELP!!! ILL MARK BRAINLYEST!
    12·2 answers
  • Find the perimeter of ABHG
    12·1 answer
  • Fill in the table below and sketch a graph<br> f(x)=4•(1/2)ˣ
    10·2 answers
  • Use the table to work out the values of a , b , c , and d .​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!