Solve the System of Equations -4x + 9y = 14 12x – 10y = – 8

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Solve the System of Equations -4x + 9y = 14 12x – 10y = – 8

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Thiên Di 4 years 2021-08-26T01:17:50+00:00 2 Answers 12 views 0

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  1. thanhha
    0
    2021-08-26T01:18:54+00:00
    Reply

    Step-by-step explanation:

    HERE,

    two equation are,

    ●-4x+9y=14••••••••••••(equation I)

    ●12x-10y=-8•••••••••••(equation II)

    First multiplying 3 in equation I

    we get,

    \bold{3×(-4x+9y=14) }

    =\bold{ -12x+27y=42 }••(equation III)

    Then,

    we combine the equationii and equation III.

    we get that,

    \bold{12x-10y-12x+27y=-8+42 }

    \bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }

    \rightsquigarrow \bold{17y=34 }

    \rightsquigarrow \bold{ y=\dfrac{34}{17} }

    \rightsquigarrow \boxed{ y=2 }

    Then,

    put the value of y in equation II.

    WE get,

    \rightsquigarrow \bold{12x-10×2=-8 }

    \rightsquigarrow \bold{ 12x-20=-8 }

    \rightsquigarrow \bold{ 12x=-8+20 }

    \rightsquigarrow \bold{ 12x=12 }

    \rightsquigarrow \bold{ x=\dfrac{12}{12} }

    \rightsquigarrow \boxed{ x=1 }

    So,

    solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)

  2. Bo
    0
    2021-08-26T01:19:42+00:00
    Reply

    Answer:

    (1, 2)

    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 + 9y = 14

    12x – 10y = -8

    Step 2: Rewrite Systems

    -4x + 9y = 14

    1. Multiply everything by 3:                    -12x + 27y = 42

    Step 3: Redefine Systems

    -12x + 27y = 42

    12x – 10y = -8

    Step 4: Solve for y

    Elimination

    1. Combine 2 equations:                    17y = 34
    2. Divide 26 on both sides:                y = 2

    Step 5: Solve for x

    1. Define equation:                    12x – 10y = -8
    2. Substitute in y:                       12x – 10(2) = -8
    3. Multiply:                                  12x – 20 = -8
    4. Isolate x term:                        12x = 12
    5. Isolate x:                                 x = 1

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