159k views
5 votes
Cups of Water Needed

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

Cups of Water Needed Graph the second line. What is the solution to the system? O-example-1
User Leisa
by
7.7k points

1 Answer

7 votes

Answer: (8,2)

========================================================

Step-by-step explanation:

Let's graph x+y = 10

Plug in x = 0 and solve for y

x+y = 10

0+y = 10

y = 10

Therefore the point (x,y) = (0,10) is on the line. This is the y intercept.

Plug in y = 0 and solve for x.

x+y = 10

x+0 = 10

x = 10

The x intercept is (10,0)

This means x+y = 10 is a straight line through (0,10) and (10,0).

This second line will intersect the given blue line (y = 1/4x) at the point (8,2) which is the solution to the system

I recommend using a graphing tool like Desmos or GeoGebra to help confirm the answer is correct.

User Lisarien
by
7.2k points