Question

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)

Answer 1

Answer: (8,2)

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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.