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enot [183]
3 years ago
10

Which statements are true about the ordered pair (10, 5) and the system of equations?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

Answer:

C

Step-by-step explanation:

We have the system of equations:

\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

2(10)-5(5)\stackrel{?}{=}-5

Evaluate:

20-25\stackrel{?}{=}-5

Evaluate:

-5\stackrel{\checkmark}{=} -5

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

(10)+2(5)\stackrel{?}{=} 11

Evaluate:

20\neq 11

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

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