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At what point do the lines y = 6x – 18 and
y= 8x – 32 intersect?

Sagot :

facundo3141592

Answer: The lines intersect at the point (7, 24)

Step-by-step explanation:

We have two lines:

y = 6*x - 18

y = 8*x - 32

We want to find the point at which both lines intersect, this means that there is a point (x, y) that belongs to both lines.

This means that we can write:

6*x - 18 = y = 8*x - 32

Because the y-value should be the same for both lines, then we get:

6*x - 18 = 8*x - 32

Now we can solve this for x.

6*x - 18 = 8*x - 32

32 - 18 = 8*x - 6*x

14 = 2*x

14/2 = x = 7

Now we know that the lines intersect at x = 7, replacing this in any of the two equations we can get the y value at which the lines intersect, let's use the first equation:

y  = 6*7 - 18 = 24

So the lines intersect at the point (7, 24)

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