Question

You are walking along a path y= 2x + 12 and your

best friend is walking along 4x + y = 6. At what point will
you cross paths?

Answer 1

(-1,10)

Explanation:

At the point when the paths cross, the respective x and y values of each equation will be equal.

Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:

4x+2x+12=6

6x=-6

x=-1

y=2x+12

y=2(-1)+12=10

So you will cross paths at (-1,10)