Which system of linear equations has the ordered pair langle 4,-5rangle as a solution? 2x-5y=-30 and 7x+4y=-19 6x-y=-29 and 8x+3y=-17 3x-2y=22 and 2x+9y=-37 5x-6y=49 and x+8y=-27

Question

Answer 1

To determine which system of linear equations has the ordered pair

as a solution, we need to substitute the values of

and

into each equation and check if the equations hold true.Let's start with the first system of equations:

and

Substituting

and

into the first equation:

Since the first equation does not hold true, we can conclude that the ordered pair

is not a solution to this system of equations.Now let's move on to the second system of equations:

and

Substituting

and

into the first equation:

Again, the first equation does not hold true, so the ordered pair

is not a solution to this system of equations either.Next, let's consider the third system of equations:

and

Substituting

and

into the first equation:

The first equation holds true, so let's substitute the values into the second equation:

Both equations hold true, so the ordered pair

is a solution to this system of equations.Finally, let's check the fourth system of equations:

and

Substituting

and

into the first equation:

The first equation does not hold true, so the ordered pair

is not a solution to this system of equations.Therefore, the correct answer is the third system of equations:

and

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