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Setler [38]
3 years ago
13

Solve each system of equations by substitution. Clearly identify your solution.

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0

Answer:

x = - 3

y = 5

Step-by-step explanation:

y = x + 8 ------(I)

x + y  = 2 -------------(II)

Substitute y = x + 8 in equation (II)

x + x + 8 = 2

Combine like terms

2x + 8 = 2

Subtract r from both sides

2x = 2- 8

2x = -6

Divide both sides by 2

x = -6/2

x = -3

Plug in x = -3 in equation (I)

y = -3 + 8

y = 5

Stels [109]3 years ago
4 0

Answer:

(-3, 5)

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  

Equality Properties

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

<u>Algebra I</u>

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

Step-by-step explanation:

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

y = x + 8

x + y = 2

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y </em>[2nd Equation]:                                                                         x + x + 8 = 2
  2. Combine like terms:                                                                                         2x + 8 = 2
  3. [Subtraction Property of Equality] Subtract 8 on both sides:                        2x = -6
  4. [Division Property of Equality] Divide 2 on both sides:                                  x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = -3 + 8
  2. Add:                                                                                                                   y = 5
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Step-by-step explanation:

If two lines are parallel, that means their slopes are equal.

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a_n = a_ (n-1) +d



a)   2,8,14,.......

b)  8-2 =6

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c) a_n = a_ (n-1) +8

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