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

Solve Each System Of Equations By Substitution Clearly Identify Your Solution class=

Sagot :

Space

Answer:

(-3, 5)

General Formulas and Concepts:

Pre-Algebra

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

Algebra I

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

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

  1. Substitute in y [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

Step 3: Solve for y

  1. Substitute in x [1st Equation]:                                                                           y = -3 + 8
  2. Add:                                                                                                                   y = 5
devishri1977

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

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