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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absor201 absor201 · Answer 1 · 2019-12-12T18:34:41+01:00

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:

[tex]2x - 5y = -5\ \ \ Eqn\ 1\\1 x + 2y = 11\ \ \ \ Eqn\ 2[/tex]

Putting the pair in equation 1

[tex]2x-5y = -5\\2(10) - 5(5) = -5\\20 -25 = -5\\-5 = -5[/tex]

Putting the pair in equation 2

[tex]x+2y = 11\\10+2(5) = 11\\10+10 = 11\\20\neq 11[/tex]

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

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