Question

Two submarines began dives in the same vertical position to meet at a designated point.

If one submarine was on a course approximated by the equation x + 4y = -14 and

the other was on a course approximated by the equation x + 3y = -8, at what location would they meet?

Write the coordinates of the point

Answer 1

meet is (-9.2,-1.2)

given that

If one submarine was traveling along a path approximated by the equation x + 4y = -14

The other was traveling along a path approximated by the equation x + 3y = -8.

x + 4y = -14 -------  (1)

x + 3y = -8

x = -8 + 3y ---   (2)

substitute 2 in 1

x + 4y = -14

-8 + 3y + 4y = -6

5y = -6

y = -6/5 = 1.2

substitute y =0 in (2)

x + 4(-6/5) = -14

5x - 24 = -70

5x = -70 + 24

5x = -46

x = -46/5 = -9.2

location would they meet is (-9.2,-1.2)

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