Question

The Black Pearl is following a course that is represented by the equation. + ? = 14. . The interception course of the Flying Dutchman is represented by the equation
Use the graphing method to determine the coordinate point where the two ships’ paths meet.

Answer 1

According to the graph, the ships’ paths do not meet at any point.

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the point where the two ships' path meet?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x = 5y - 40

-4x + 10y = 20

Make y the subject in the second equation, by adding 4x to both sides of the equation

4x -4x + 10y = 20 + 4x

This gives

10y = 20 + 4x

Divide both sides by 10

y = 2 + 0.4x

Substitute y = 2 + 0.4x in 2x = 5y - 40

2x = 5(2 + 0.4x) - 40

Expand

2x = 10 + 2x - 40

Subtract 2x from both sides of the equation.

2x - 2x = 10 + 2x - 2x - 40

Evaluate the like terms

0 = 10 - 40

Evaluate the like terms

0 = -30

The above equation is not true.

This means that the ships’ paths do not meet at any point.

This can be confirmed using the attached graph.

From the graph, we can see that the lines of 2x = 5y - 40 and -4x + 10y = 20 do not intersect

Hence, we can conclude that the ships’ paths do not meet at any point.

Read more about system of linear equations at

brainly.com/question/14323743

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