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
asambeis [7]
3 years ago
12

5. 3x + 5y + 5z =1 x - 2y = 5 2x + 4y = 11

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

You might be interested in
The front and back covers of a text book are each 0.3 thick between the cover are 200 sheets of paper each 0.008 cm thick how hi
shepuryov [24]

Answer: 1,000

Step-by-step explanation:

The height of 10 stacks of books would be a 1,000 because if it's 0.3 thick between covers of 200 sheets then 10 books would be a 1,000.

5 0
2 years ago
When f(x) = 7x^2 - 2x + 4, evaluate f(-1)<br> f(-1) =
Blizzard [7]

Answer:

13

Step-by-step explanation:

do u want me to elaborate on how I found it>

5 0
3 years ago
Determine which problem matches the given inequality.
sergey [27]

Answer:

There are less than 5 1/2 cups of sugar.

Step-by-step explanation:

E D G E N U I T Y

Have a good day! (◕ヮ◕ヽ)

8 0
3 years ago
Read 2 more answers
Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10
makkiz [27]

9514 1404 393

Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

  5 = 5

  10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
5 0
2 years ago
Carol bought 12 pounds of bananas for $13.50 and then the next week she bought 20 pounds for $22. Which bunch of bananas was the
DENIUS [597]
The answer is B) 20 lbs for $22 because carol is getting 8 pounds more for only $9+
4 0
2 years ago
Other questions:
  • A circle has the equation 2x2+12x+2y2−16y−150=0.
    14·1 answer
  • Alison is preparing for a math contest. Each day she works on multiplication problems for 20 minutes and division problems for 1
    15·1 answer
  • You need 70 boxes, right now you have 35 boxes and you get 10 boxes a hour. What is the expression
    8·2 answers
  • Find the area of the figure shown below and type your result in the empty box.
    15·2 answers
  • I need help with all of number 2 pls
    10·1 answer
  • how do you find the missing length of a triangle given 2 angles and 1 side length? (looks like this)​
    13·1 answer
  • I am having trouble with my homeschool homework. please help.
    9·1 answer
  • Irene uses 9.6 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest i
    13·1 answer
  • The point (x,y) is first rotated 180 degrees clockwise about the origin, translated 6 units to the left, and then reflected acro
    5·2 answers
  • Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!