mrkequine
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Help asap please I’ll give brainlyest A set of equations is given below:
Equation C: y = 4x + 8
Equation D: y = 4x + 2
Which of the following best describes the solution to the given set of equations?
O No solution
One solution
OTwo solutions
O Infinitely many solutions

Respuesta :

Paounn

Answer:

No solutions.

Step-by-step explanation:

Easy way to spot is to take the 4x term to the LHS.

[tex]y-4x = 8\\y-4x = 2[/tex]

You're required to find a quantity that is at the same time equal to both 8 and 2, which is obviously impossible.

Heather

There are two ways to figure this equation out.

Answer: O No solution

Way One - Graphing

     We can graph the two equations. Points of intersection represent a solution to the set.

-> See attached.

     Since there are no points of intersection, the answer is "O No solution"

Way Two - Analyzing the Equations

     We can see that both of these equations have a slope of 4. We then can set them both equal to the y-intercept to see if they will have solutions.

y = 4x + 8

 -> y - 4x = 8

y = 4x + 2

 -> y - 4x = 2

     Because 8 ≠ 2, but y - 4x = y - 4x, the answer is "O No solution"

Ver imagen Heather

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