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HW Score: 
14.29%,10
7.1
Question 3, 7.1.23
points
Points: 0 of 1
Decide if the ordered pair 
(1,0) is a solution to the equation 
3x-y=3.
Is 
(1,0) a solution of 
3x-y=3 ?
No
Yes

HW Score: 14.29%,10 14.29 \%, 10 \newline77.11\newlineQuestion 33, 77.11.2323\newlinepoints\newlinePoints: 00 of 11\newlineDecide if the ordered pair (1,0) (1,0) is a solution to the equation 3xy=3 3 x-y=3 .\newlineIs (1,0) (1,0) a solution of 3xy=3 3 x-y=3 ?\newlineNo\newlineYes

Full solution

Q. HW Score: 14.29%,10 14.29 \%, 10 \newline77.11\newlineQuestion 33, 77.11.2323\newlinepoints\newlinePoints: 00 of 11\newlineDecide if the ordered pair (1,0) (1,0) is a solution to the equation 3xy=3 3 x-y=3 .\newlineIs (1,0) (1,0) a solution of 3xy=3 3 x-y=3 ?\newlineNo\newlineYes
  1. Identify given pair & equation: Identify the given ordered pair and the equation.\newlineThe ordered pair given is (1,0)(1,0), and the equation is 3xy=33x - y = 3.
  2. Substitute values into equation: Substitute the values of the ordered pair into the equation.\newlineSubstitute x=1x = 1 and y=0y = 0 into the equation 3xy=33x - y = 3 to check if the ordered pair is a solution.\newline3(1)0=33(1) - 0 = 3
  3. Perform calculations: Perform the calculations to see if the equation is satisfied. 3(1)0=33(1) - 0 = 3 simplifies to 30=33 - 0 = 3, which further simplifies to 3=33 = 3.
  4. Compare with right side: Compare the result with the right side of the equation.\newlineSince 3=33 = 3, the left side of the equation is equal to the right side when we substitute the ordered pair (1,0)(1,0).
  5. Conclude solution: Conclude whether the ordered pair is a solution to the equation.\newlineBecause the equation holds true with the substitution of (1,0)(1,0), we can conclude that (1,0)(1,0) is indeed a solution to the equation 3xy=33x - y = 3.

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