4x + 3y = 6 -4x + 2y = 14 Solve the system of equations. A) x = 1 2 , y = 3 B) x = 3, y = 1 2 C) x = 4, y = – 3 2 D) x = – 3 2 , y = 4

Question

4x + 3y = 6 -4x + 2y = 14 Solve the system of equations. A) x = 1 2 , y = 3 B) x = 3, y = 1 2 C) x = 4, y = – 3 2 D) x = – 3 2 , y = 4

in progress 0
Sadie 3 weeks 2021-09-24T05:04:50+00:00 2 Answers 0

Answers ( )

    0
    2021-09-24T05:05:55+00:00

    Answer:

    yea first guy is right

    Step-by-step explanation:

    0
    2021-09-24T05:06:17+00:00

    The solution of the system of equations is x=\frac{-3}{2} , y = 4 D

    Step-by-step explanation:

    To solve the system of equation we can use on of two methods

    • Elimination method
    • Substitution method

    The system of equation is:

    4x + 3y = 6 ⇒ (1)

    -4x + 2y = 14 ⇒ (2)

    Let us use the elimination method because the coefficients of x in the two equations have same values and different signs, so they eliminate each other

    Add equations (1) and (2) to eliminate x

    ∵ (4x + -4x) + (3y + 2y) = (6 + 14)

    ∴ 5y = 20

    – Divide both sides by 5

    ∴ y = 4

    Substitute the value of y in equations (1) or (2) to find x

    We will substitute y in equation (1)

    ∴ 4x + 3(4) = 6

    ∴ 4x + 12 = 6

    – Subtract 12 from both sides

    ∴ 4x = -6

    – Divide both sides by 4

    x=\frac{-3}{2}

    The solution of the system of equations is x=\frac{-3}{2} , y = 4

    Learn more:

    You can learn more about the system of equations in brainly.com/question/6075514

    #LearnwithBrainly

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