Respuesta :

Space

Answer:

(5, -10)

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
  • Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

-9x - 6y = 15

9x - 10y = 145

Step 2: Solve for y

Elimination

  1. Combine 2 equations:                                                                                   -16y = 160
  2. [Division Property of Equality] Divide -16 on both sides:                             y = -10

Step 3: Solve for x

  1. Define original equation:                                                                                -9x - 6y = 15
  2. Substitute in y:                                                                                                -9x - 6(-10) = 15
  3. Multiply:                                                                                                           -9x + 60 = 15
  4. [Subtraction Property of Equality] Subtract 60 on both sides:                     -9x = -45
  5. [Division Property of Equality] Divide -9 on both sides:                               x = 5

Step 4: Check

Graph the systems of equations to verify the algebraically solved solution set is the solution.

Where the 2 lines intersect is the solution set.

We see graphically that we get (5, -10).

∴ (5, -10) or x = 5 and y = -10 is the solution to our systems

Ver imagen Space

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