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
Brums [2.3K]
2 years ago
11

The following equations are given:

Mathematics
1 answer:
jarptica [38.1K]2 years ago
3 0

The solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3 and the solutions in part b hold for equation 4

<h3>Solving the variables using equations 1 and 2</h3>

There are three variables in the system

To solve the three variables, there must be at least three equations in the system of equations

Hence, the variables cannot be solved because the number of equations is not enough

<h3>Solving the variables using equations 1, 2 and 3</h3>

We have:

3x + z + y = 8

5y - x = -7

3z + 2x - 2y = 15

Make x the subject in (2)

x = 5y + 7

Substitute x = 5y + 7 in (1) and (3)

3(5y + 7) + z + y = 8

15y + 21 + z + y = 8

16y + z = -13

3z + 2(5y + 7) - 2y = 15

3z + 10y + 14 - 2y = 15

3z + 8y = 1

Multiply 16y + z = -13 by 3

48y + 3z = -39

Subtract 3z + 8y = 1 from 48y + 3z = -39

48y - 8y + 3z - 3z = -39 - 1

40y = -40

Divide by 40

y = -1

Substitute y = -1 in x = 5y + 7

x = 5(-1) + 7

x = 2

Make z the subject in 16y + z = -13

z = -13 - 16y

Substitute y = -1

z = -13 - 16(-1)

z = 3

Hence, the solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3

<h3>Can the solution work for equation 4?</h3>

We have:

4x + 5y - 2z = -3

Substitute x = 2, y = -1 and z = 3

4(2) + 5(-1) - 2(3) = -3

Evaluate

-3 = -3 --- this is true

Hence, the solutions in part b hold for equation 4

Read more about system of equations at:

brainly.com/question/12895249

#SPJ1

<u>Missing part of the question</u>

The following equations are given:

Equation #1: 3x + z + y = 8

Equation #2: 5y - x = -7

Equation #3: 3z + 2x - 2y = 15

Equation #4: 4x + 5y - 2z = -3

You might be interested in
Bonita has a standard of 2 hours of labor per unit, at $12 per hour. In producing 2600 units, Bonita used 5050 hours of labor at
Eduardwww [97]

Answer:

1800

Step-by-step explanation:

Labor quantity variance= Actual quantity ×standard price - standard quantity ×standard price

Standard quantity=2×2600=5200

Labor quantity variance

5050×12-5200×12=1800

3 0
3 years ago
Triangle DEF has coordinates D(3, 4), E(4, 1), and F(1, -2). If the triangle is
fenix001 [56]

Answer:

Hello! answer: coordinates of E' are (16, 4)

Step-by-step explanation:

4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)

5 0
3 years ago
Solve for x in the diagram below
BlackZzzverrR [31]

Answer:

40

Step-by-step explanation:

because vertical angles are equal

3×40=120

4 0
3 years ago
7.4=n-2.6 could you plz solve this or give me some good sites that could solve it for me oh and plz show the steps to thanks
lisov135 [29]
Please try to follow this closely.
Ready ?  OK, here goes:

              <em> Add 2.6 to each side of the equation.</em>
6 0
3 years ago
Read 2 more answers
Identify the perfect cube contained as a factor in 54
erastova [34]

Answer:

27.

Step-by-step explanation:

54 = 2 * 3 * 3 * 3.

3 occurs 3 times so the perfect cube is 27.

8 0
3 years ago
Other questions:
  • The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea t
    6·1 answer
  • Write 84 as a product of prime factors
    9·1 answer
  • Based on the graphic, which three-dimensional figure has the greatest volume?
    14·1 answer
  • What is the vertex of the parabola?<br><br>A. (-1,0)<br>B. (0,-3)<br>C. (1,-4)<br>D. (3,0)​
    8·2 answers
  • 20 points if you can solve all
    14·1 answer
  • Solve the following equation. log(3x)=log(2x-4) *
    8·1 answer
  • Sydney is going to a carnival that has games and rides. Each game costs $1.25 and
    15·1 answer
  • 5 1/2 ÷ 3 2/3 + 1 4/5 , giving answer as a fraction in lowest terms<br>​
    12·1 answer
  • HELP ME IM GONNA LOSE MY MIND IN MINUTES
    11·2 answers
  • Which point would fall on the line created by the function y = 3x + 11?A (1,11) B (-2,5)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!