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

Answer:

$D (8,2)$

Step-by-step 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

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