Question
The y-coordinate of the solution to:
y=6x-1
y=-2x+3
y=6x-1
y=-2x+3
Answers
Answered by
GPT 3.5
To find the y-coordinate of the solution to these two equations, we can set them equal to each other:
6x - 1 = -2x + 3
Let's solve for x:
Add 2x to both sides:
8x - 1 = 3
Add 1 to both sides:
8x = 4
Divide both sides by 8:
x = 1/2
Now we can substitute this value of x back into either equation to find the y-coordinate. Let's use the first equation:
y = 6(1/2) - 1
y = 3 - 1
y = 2
Therefore, the solution to the system of equations is (1/2, 2) and the y-coordinate of this solution is 2.
6x - 1 = -2x + 3
Let's solve for x:
Add 2x to both sides:
8x - 1 = 3
Add 1 to both sides:
8x = 4
Divide both sides by 8:
x = 1/2
Now we can substitute this value of x back into either equation to find the y-coordinate. Let's use the first equation:
y = 6(1/2) - 1
y = 3 - 1
y = 2
Therefore, the solution to the system of equations is (1/2, 2) and the y-coordinate of this solution is 2.