Answer:
(Choice C) Both (10,1) and (-4,3)
Step-by-step explanation:
Given: [tex]x+7y=17[/tex]
To find: the ordered pair is a solution of the equation [tex]x+7y=17[/tex]
Solution: We know that a linear equation in two variables has infintely many solution. So, we need to check the options one by one.
Let us check [tex](10,1)[/tex]
Put [tex]x=10[/tex] and [tex]y=1[/tex] in the equation [tex]x+7y=17[/tex]
we have, [tex]10+7(1)=17[/tex]
Clearly [tex](10,1)[/tex] is satisfying the equation, it is the solution.
Now, let us check [tex](-4,3)[/tex]
Put [tex]x=-4[/tex] and [tex]y=3[/tex] in the equation [tex]x+7y=17[/tex]
we have, [tex]-4+7(3)=17[/tex]
Clearly [tex](-4,3)[/tex] is satisfying the equation, it is the solution.
Hence, out of all the choices, Choice (C) Both (10,1) and (-4,3) is correct.
