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
irakobra [83]
2 years ago
11

Solve each system of eaquasions x+4y=4 -x+2y=8​

Mathematics
2 answers:
bazaltina [42]2 years ago
6 0
X + 4y = 4
-x + 2y = 8


x + 4y - x + 2y = 4 + 8

6y = 12

y = 2


x + 4(2) = 4
x + 8 = 4
x = -4

(x,y)
(-4,2)
Annette [7]2 years ago
6 0

Answer:

(-4, 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using systems

Step-by-step explanation:

<u>Step 1: Define Systems</u>

x + 4y = 4

-x + 2y = 8

<u>Step 2: Rewrite Systems</u>

x + 4y = 4

  1. [Subtraction Property of Equality] Subtract 4y on both sides:                    x = 4 - 4y

<u>Step 3: Redefine Systems</u>

x = 4 - 4y

-x + 2y = 8

<u>Step 4: Solve for </u><em><u>y</u></em>

Substitution

  1. Substitute in <em>x</em>:                                                                                                 -(4 - 4y) + 2y = 8
  2. [Distributive Property] Distribute negative:                                                   -4 + 4y + 2y = 8
  3. Combine like terms:                                                                                        -4 + 6y = 8
  4. [Addition Property of Equality] Add 4 on both sides:                                    6y = 12
  5. [Division Property of Equality] Divide 6 on both sides:                                y = 2

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                                x + 4y = 4
  2. Substitute in <em>y</em>:                                                                                                 x + 4(2) = 4
  3. Multiply:                                                                                                            x + 8 = 4
  4. [Subtraction Property of Equality] Subtract 8 on both sides:                       x = -4
You might be interested in
A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
2 years ago
Which of the following are considered skew lines? <br> 1.cone 2. Prism 3. Cylinder 4.cube
Andrej [43]
The answer is number 4. Cube
8 0
2 years ago
Please help me.
Paul [167]

Answer:

(1,K) hope i could help

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the value of x in this equation?<br> 8x + 40 = 180
antiseptic1488 [7]

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

6 0
3 years ago
Read 2 more answers
eXCUSE ME!!! I NEED HELP PRONTO!! BRAINLIEST PLS! in a fraction the denominator is 4 less than the numerator. If 3 is added to b
avanturin [10]

7/5 = 14/10 = 28/20

Numerator = x

Denominator = x-4

Add 3 to both:

x +3 / (x-4+3)

x+3 = 14

(x-4 +3) = 10 = x-1 = 10

x = 11

Check:

11 -4 = 7 ( denominator is 4 less than the numerator.)

add 3 to both:

11+3 = 14

7+3 = 10

14/10 reduces to 7/5

The original fraction would be 11/7

8 0
3 years ago
Other questions:
  • How much does 4 5/7 kg of candy cost if 5/6 kg costs $7.50
    10·1 answer
  • Find the vertex of y=x²-6x+4
    10·1 answer
  • I need help with this question
    14·1 answer
  • Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR? A) AB DE = CB FE B) m∠C = m∠F C) m∠A +
    14·1 answer
  • Find the indicated limit. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot Select the correct choice below
    15·1 answer
  • The weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of
    6·2 answers
  • What is m∠A?<br><br><br>Enter your answer in the box.
    13·1 answer
  • Pls pls pls, help!!!!!!
    11·2 answers
  • Use the image below to find the angles assuming is parallel to F.
    12·1 answer
  • Please help me
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!