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How can I solve this with substitution with steps.
y=-6x-16
-2x+4y=-2

Sagot :

Spaceid

Answer:

(-31/13, -22/13)

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

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

Step-by-step explanation:

Step 1: Define Systems

y = -6x - 16

-2x + 4y = -2

Step 2: Solve for x

Substitution

  1. Substitute in y:                                                                                                -2x + 4(-6x - 16) = -2
  2. Distribute 4:                                                                                                    -2x - 24x - 64 = -2
  3. Combine like terms:                                                                                       -26x - 64 = -2
  4. [Addition Property of Equality] Add 64 on both sides:                                -26x = 62
  5. [Division Property of Equality] Divide -26 on both sides:                            x = -31/13

Step 3: Solve for y

  1. Define original equation:                                                                               y = -6x - 16
  2. Substitute in x:                                                                                                y = -6(-31/13) - 16
  3. Multiply:                                                                                                           y = 186/13 - 16
  4. Subtract:                                                                                                          y = -22/13

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