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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
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Answer:

Side is 8 meters, Perimeter is 32 meters

Step-by-step explanation:

<em>One side </em>

Squares have 4 equal sides.  Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:

a=s^2

We know the area is 64, so we can substitute that in

64=s^2

Take the square root of both sides

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One side is 8 meters

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Squares have 4 equal sides, and the perimeter is all the sides added up.

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It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

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