Question

Which statements are true about the ordered pair (−1, 5) and the system of equations? {x+y=4x−y=−6 Select each correct answer. A The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true. B The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true. C The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false. D The ordered pair (−1, 5) is a solution to the system because it makes both equations true.

Answer 1

Answer:it’s 2,3

Step-by-step explanation:

y: 3

x: 2

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Answer 2

Option(C) is the correct answer.

The ordered pair (-1,5) is not a solution to the system of equations because it makes at least one of the equations false.

Given:

A system of equations that is [x+y=4x-y=-6] and on ordered pair (-1,5).

To find:

If the given ordered pair is the solution to the given set of equations.

Solution:

The Given set of equations is [x+y=4x-y=-6]

So, the two equations are,

x+y=-6...... let it be equation 1.

4x-y=-6......let it be equation 2.

In the given ordered pair (-1,5), let's take the values of the arbitrary variables.

Here, x=-1 and y=5.

Put them in equation 1

x+y=-6

but -1+5=4 which is not equal to -6.

Now, put the ordered pair in equation 2.

4(-1)-5=-4-5=-9, it is also not equal to -6.

So, the given ordered pair doesn't satisfy even one equation.

So, option(C) is the correct answer.

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