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Determine whether the ordered pair is a solution of the system of equations. Remember to use alphabetical order of variables. (2,5) 3x-y=1 x+y=8 No Yes

Pergunta

Determine whether the ordered pair is a solution of the system of equations. Remember to use alphabetical order of variables.
(2,5)
3x-y=1
x+y=8
No
Yes

Determine whether the ordered pair is a solution of the system of equations. Remember to use alphabetical order of variables. (2,5) 3x-y=1 x+y=8 No Yes

Solução

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ElisaEspecialista · Tutor por 3 anos

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To determine whether the ordered pair $(2,5)$ is a solution to the system of equations, we need to substitute the values of $x$ and $y$ into each equation and check if they satisfy both equations.<br /><br />Given:<br />$3x - y = 1$<br />$x + y = 8$<br /><br />Substituting $(2,5)$ into the first equation:<br />$3(2) - 5 = 6 - 5 = 1$<br /><br />Substituting $(2,5)$ into the second equation:<br />$2 + 5 = 7$<br /><br />Since the ordered pair $(2,5)$ satisfies both equations, it is a solution to the system of equations.<br /><br />Therefore, the answer is "Yes".
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