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))

Question

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MrRoyal MrRoyal · Answer 1 · 2021-05-02T03:10:23+02:00

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

[tex]2x - y = -1[/tex]

[tex]y =5x - 5[/tex]

Required

Verify that: [tex](x,y) = (2,5)[/tex] is a solution

We have:

[tex]2x - y = -1[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]2 * 2 - 5 = -1[/tex]

Evaluate all products

[tex]4 - 5 = -1[/tex]

Subtract:

[tex]-1 = -1[/tex]

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

Also: [tex]y =5x - 5[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]5 = 5 * 2 - 5[/tex]

Evaluate all products

[tex]5 = 10 - 5[/tex]

Subtract:

[tex]5 = 5[/tex]

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