What is the solution of this system of linear equations? y = 3x – 2 y- 2 = x no solution Infinitely many solut

Question

What is the solution of this system of linear equations?
y = 3x – 2
y- 2 = x

no solution
Infinitely many solutions
(0,2)
(2,4)

in progress 0
Autumn 2 weeks 2021-09-12T15:17:14+00:00 2 Answers 0

Answers ( )

    0
    2021-09-12T15:18:32+00:00

    Answer: D

    Step-by-step explanation:

    Consider the first equation. Subtract 3x from both sides.

    y−3x=−2

    Consider the second equation. Subtract x from both sides.

    y−2−x=0

    Add 2 to both sides. Anything plus zero gives itself.

    y−x=2

    To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

    y−3x=−2,y−x=2

    Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.

    y−3x=−2

    Add 3x to both sides of the equation.

    y=3x−2

    Substitute 3x−2 for y in the other equation, y−x=2.

    3x−2−x=2

    Add 3x to −x.

    2x−2=2

    Add 2 to both sides of the equation.

    2x=4

    Divide both sides by 2.

    x=2

    Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.

    y=3×2−2

    Multiply 3 times 2.

    y=6−2

    Add −2 to 6.

    y=4

    The system is now solved.

    y=4,x=2

    0
    2021-09-12T15:18:55+00:00

    Answer:

    Step-by-step explanation:

    y=3x-2                  ———————(1)

    y-2=x                    ———————(2)

    substituting (2) in (1),

    y=3x-2

    y=3(y-2)-2

    y=3y-6-2

    -3y+y=-6-2

    -2y=-8

    ∴ y=4                       ———————-(3)

    substituting (3) in(2)

    y-2=x

    x=4-2

    ∴x=2

    hence,(2,4)

    HOPE IT HELPS YOU!!!!

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