Question

The y-coordinate of the solution to:
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.

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