Respuesta :

Multiply first equation with 2. Then add first and second, we get -x=6. X=-6 and y=-29
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Answer:

(-6, -29)

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

Algebra I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5x + y = 1

9x - 2y = 4

Step 2: Rewrite Systems

-5x + y = 1

  1. Add 5x on both sides:                    y = 5x + 1

Step 3: Redefine Systems

y = 5x + 1

9x - 2y = 4

Step 4: Solve for x

Substitution

  1. Substitute in y:                    9x - 2(5x + 1) = 4
  2. Distribute -2:                       9x - 10x - 2 = 4
  3. Combine like terms:           -x - 2 = 4
  4. Isolate x term:                     -x = 6
  5. Isolate x:                              x = -6

Step 5: Solve for y

  1. Define equation:                     -5x + y = 1
  2. Substitute in x:                         -5(-6) + y = 1
  3. Multiply:                                    30 + y = 1
  4. Isolate y:                                   y = -29

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