Question

Adam wants to mix 10 cups of fertilizer from concentrate. He needs to mix one part of fertilizer concentrate with 4 parts of water. He wrote the system of equations to represent the amount fertilizer concentrate and water needed and then graphed the first line.y = 1/4 x, x + y = 10

Graph the second line. What is the solution to the system?
A) (0,2.5)
B) (4,6)
C) (5,5)
D) (8,2)

Answer 1

`D (8,2)`

Explanation:

1) In the Graph, the solution to this Linear System is the point the belongs to both lines. Since a line is set of points, then a point which is in both lines solves the system, i.e. (8,2)

2) Algebraically Testing

`\left\{\begin{matrix}y=(1)/(4)x\\x+y=10\end{matrix}\right.\Rightarrow I) y=(1)/(4)*8\Rightarrow y=2\:II)\:8+2=10\:(True)`