Question

Help please I need this by sunday!!!!!

Answer 1

Answer:

There are infinitely many solutions.

Step-by-step explanation:

So there are three possible scenarios. The is a finite set of solutions, there are infinitely many solutions, or there are no solutions.

We can determine which of these scenarios is possible by analyzing the pair of equations.

Y = (1/4)x - 1

Y = (1/4)(x - 4)

For clarity, I have put parentheses around the fractional component 1/4.

Note, the first equation can be rewritten as such:

Y = (1/4)x - 1

Y = (x/4) - 1

And the second equation can be simplified using the distributive property of multiplication

Y = (1/4)(x - 4)

Y = (1/4)x - (1/4)(4)

Y = (x/4) - (1)

Y = (x/4) - 1

Notice, both equation are actually the same. This means whatever values of x or Y you put in, the two equations will always be equal. This means there are infinitely many solutions because there are an infinite combination of x and Y that solve pair of equations given, which is actually the same equation. In the graph, this is represented as a line on top of the existing line.

Cheers.