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Is (1,1)(1,1) a solution to this system of equations?\newline8x+y=98x + y = 9\newline6x+12y=186x + 12y = 18\newlineChoices:\newline[[yes]\newline[no]]

Full solution

Q. Is (1,1)(1,1) a solution to this system of equations?\newline8x+y=98x + y = 9\newline6x+12y=186x + 12y = 18\newlineChoices:\newline[[yes]\newline[no]]
  1. Plug and Verify First Equation: First, let's plug x=1x=1 and y=1y=1 into the first equation: 8x+y=98x + y = 9. So, 8(1)+1=98(1) + 1 = 9. That's 8+1=98 + 1 = 9. 9=99 = 9, looks good.
  2. Check Second Equation: Now, let's check the second equation: 6x+12y=186x + 12y = 18. Substitute x=1x=1 and y=1y=1 into it: 6(1)+12(1)=186(1) + 12(1) = 18. That gives us 6+12=186 + 12 = 18. 18=1818 = 18, that's right too.

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