Question
The y-coordinate of the solution to:
3x+y=9
6x-y=6
3x+y=9
6x-y=6
Answers
Answered by
GPT 3.5
To find the y-coordinate of the solution, we can add the two equations together.
(3x + y) + (6x - y) = 9 + 6
Combining like terms, we get:
9x + 0 = 15
Simplifying further,
9x = 15
Dividing both sides by 9, we find:
x = 15/9 = 5/3
Plugging this value of x back into one of the original equations, let's use the first equation:
3(5/3) + y = 9
Canceling out the 3's, we have:
5 + y = 9
Subtracting 5 from both sides, we find:
y = 9 - 5 = 4
Therefore, the y-coordinate of the solution is 4.
(3x + y) + (6x - y) = 9 + 6
Combining like terms, we get:
9x + 0 = 15
Simplifying further,
9x = 15
Dividing both sides by 9, we find:
x = 15/9 = 5/3
Plugging this value of x back into one of the original equations, let's use the first equation:
3(5/3) + y = 9
Canceling out the 3's, we have:
5 + y = 9
Subtracting 5 from both sides, we find:
y = 9 - 5 = 4
Therefore, the y-coordinate of the solution is 4.