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Is (3,6) A Solution To
y = 3x - 3
and
y = 2x + 2

2 Answers

2 votes

y=x+3\\ -2x+y=1\\\\ -2\cdot3+6=1\\ -6+6=1\\ 0=1\leftarrow \text{false}

It isn't.
User Zoltan Toth
by
8.7k points
6 votes
Plug in the values. The x value is 3, and the y value is 6. Act on that. The equation y = 3x - 3 changes to 6 = 3(3) - 3. Do those numbers work? Solve it.
6 = 3(3) - 3 --> 6 = 9 - 3 --> 6 = 6 ... So yes, (3, 6) is a solution for y = 3x - 3.
Now let's move on to the next equation. If we plug in the same x and y values, then y = 2x + 2 will change to 6 = 2(3) + 2. Now comes the solving ...
6 = 2(3) + 2 --> 6 = 6 + 2 --> 6 > 8 ... So the coordinates do not work for the second equation since the two answers are not equal.
User Ninthpower
by
8.0k points

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