The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the equations? A. y=3

Question

The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the
equations?
A. y=3x-2
B.-x+1
C.y=x-1
D.y=2x+3

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Lệ Thu 4 years 2021-07-31T03:13:07+00:00 1 Answers 14 views 0

Answers ( )

  1. Calantha
    0
    2021-07-31T03:14:12+00:00
    Reply

    Answer:

    We conclude that The point (-2, 3) satisfies the equation y = -x+1.

    Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

    Step-by-step explanation:

    Given

    • The point (-2, 3)

    Checking option A

    Given the equation

    y = 3x-2

    substitute x = -2 and y = 3

    3 = 3(-2) – 2

    3 = -6 – 2

    3 = -8

    FALSE!

    L.H.S ≠ R.H.S

    Thus,

    The point (-2, 3) does not satisfy the equation y = 3x-2.

    Checking option B

    Given the equation

    y = -x+1

    substitute x = -2 and y = 3

    3 = -(-2)+1

    3 = 2+1

    3 = 3

    TRUE!

    L.H.S = R.H.S

    Thus,

    The point (-2, 3) satisfies the equation y = -x+1.

    Checking option C

    Given the equation

    y=x-1

    substitute x = -2 and y = 3

    3 = -2-1

    3 = -3

    FALSE!

    L.H.S ≠ R.H.S

    Thus,

    The point (-2, 3) does not satisfy the equation y=x-1.

    Checking option D

    Given the equation

    y=2x+3

    substitute x = -2 and y = 3

    3 = 2(-2)+3

    3 = -4+3

    3 = -1

    FALSE!

    L.H.S ≠ R.H.S

    Thus,

    The point (-2, 3) does not satisfy the equation y=2x+3.

    Conclusion:

    Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.

    Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

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