1
What’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1

1 Answer

2

Answer:

x = -1

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

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

  1. Substitute in x:                    3(-2y - 1) + 4y = -3
  2. Distribute 3:                         -6y - 3 + 4y = -3
  3. Combine like terms:           -2y - 3 = -3
  4. Isolate y term:                     -2y = 0
  5. Isolate y:                              y = 0

Step 3: Solve for x

  1. Define equation:                   x = -2y - 1
  2. Substitute in y:                      x = -2(0) - 1
  3. Multiply:                                 x = 0 - 1
  4. Subtract:                                x = -1
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Braulio Balistreri
15.5k 3 10 26
answered 6 months ago