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Is the ordered pair (1, 4) the solution to the equation y = 2x + 1? A. No, because the ordered pair does not fit the equation. B. Yes, because the ordered pair is the only solution to the equation. C. Yes, because the ordered pair fits the equation. D. No, because the ordered pair is not the only solution to the equation.



Answer :

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Plug the values into the equation and check:
[tex](1,4) \\ x=1 \\ y=4 \\ \Downarrow \\ y=2x+1 \\ 4=2 \times 1+1 \\ 4=2+1 \\ 4=3 \\ \hbox{not true}[/tex]

The answer is A. No, because the ordered pair does not fit the equation.
Let's try to put the pair into the equation:

x is the first number, and y is the second.

4=2*1+1

Let's perform the operations on the right:

2*1=2
2+1=3

so the left side is 3.

now, that would mean that the equation is 4=3, which is false! so the answer is A: does not fut the equation.

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