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ethansun2018

Answer:

A. (2,4)

Step-by-step explanation:

use the substitution method.

for the second equation, subtract x on both sides to get y = 6-x

substitute that into the first equation

6 - x = 3x - 2

add x on both sides: 6 = 4x-2

add 2 on both sides: 4x = 8

divide by 4: x = 2

y = 6-2 = 4

Space

Answer:

A. (2, 4)

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

Algebra I

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = 3x - 2

x + y = 6

Step 2: Solve for x

Substitution

  1. Substitute in y:                               x + 3x - 2 = 6
  2. Combine like terms:                      4x - 2 = 6
  3. Add 2 to both sides:                      4x = 8
  4. Divide 4 on both sides:                 x = 2

Step 3: Solve for y

  1. Define original equation:                    x + y = 6
  2. Substitute in x:                                     2 + y = 6
  3. Subtract 2 on both sides:                   y = 4

Step 4: Graph systems

Check the solution set.

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