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Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both?

(The point is (2,5))

1 Answer

4 votes

Answer:

(a) Verified

(b) They are simultaneous equations

Explanation:

Given


2x - y = -1


y =5x - 5

Required

Verify that:
(x,y) = (2,5) is a solution

We have:


2x - y = -1

Substitute:
(x,y) = (2,5)


2 * 2 - 5 = -1

Evaluate all products


4 - 5 = -1

Subtract:


-1 = -1

Because both sides of the equation are equal, then the point is a solution

Also:
y =5x - 5

Substitute:
(x,y) = (2,5)


5 = 5 * 2 - 5

Evaluate all products


5 = 10 - 5

Subtract:


5 = 5

Because both sides of the equation are equal, then the point is a solution

Because the given point is a solution to both equations, then they are simultaneous equation

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