4x + 3y = 12 2x + 3y = -6 select each correct answer

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4x + 3y = 12 2x + 3y = -6 select each correct answer

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  1. Answer:

    (9, -8)

    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
    • Subtract Property of Equality

    Algebra I

    • Solving systems of equations using substitution/elimination

    Step-by-step explanation:

    Step 1: Define Systems

    4x + 3y = 12

    2x + 3y = -6

    Step 2: Rewrite Systems

    4x + 3y = 12

    1. Multiply everything by -1:                    -4x – 3y = -12

    Step 3: Redefine Systems

    -4x – 3y = -12

    2x + 3y = -6

    Step 4: Solve for x

    Elimination

    1. Combine 2 equations:                     -2x = -18
    2. Divide -2 on both sides:                  x = 9

    Step 5: Solve for y

    1. Define equation:                     2x + 3y = -6
    2. Substitute in x:                        2(9) + 3y = -6
    3. Multiply:                                   18 + 3y = -6
    4. Subtract 18 on both sides:      3y = -24
    5. Divide 3 on both sides:           y = -8
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