Which statements are true about the ordered pair (10, 5) and the system of equations? (2x – 5y = -5 1 x + 2y = 11 Select e

Question

Which statements are true about the ordered pair (10, 5) and the system of equations?
(2x – 5y = -5
1 x + 2y = 11
Select each correct answer.
The ordered pair (10, 5) is a solution to the first equation because it makes the first
equation true.
The ordered pair (10, 5) is a solution to the second equation because it makes the
second equation true.
The ordered pair (10, 5) is not a solution to the system because it makes at least
one of the equations false.
The ordered pair (10, 5) is a solution to the system because it makes both
equations true.

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Ayla 2 weeks 2021-09-12T07:42:07+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T07:43:48+00:00

    The ordered pair (10, 5) is a solution to the first equation because it makes the first  equation true.

    The ordered pair (10, 5) is not a solution to the system because it makes at least  one of the equations false.

    Step-by-step explanation:

    We will put the ordered pair one by one in the equations

    Given equations are:

    2x - 5y = -5\ \ \ Eqn\ 1\\1 x + 2y = 11\ \ \ \ Eqn\ 2

    Putting the pair in equation 1

    2x-5y = -5\\2(10) - 5(5) = -5\\20 -25 = -5\\-5 = -5

    Putting the pair in equation 2

    x+2y = 11\\10+2(5) = 11\\10+10 = 11\\20\neq 11

    we can see that the ordered pair satisfies the first equation and not the second equation

    Hence,

    The right answers are:

    The ordered pair (10, 5) is a solution to the first equation because it makes the first  equation true.

    The ordered pair (10, 5) is not a solution to the system because it makes at least  one of the equations false.

    Keywords: Linear system

    Learn more about linear equations at:

    • brainly.com/question/5756316
    • brainly.com/question/5922969

    #LearnwithBrainly

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