Without drawing a graph of either equation, find the point where the two lines intersect.

Line 1 :

Line 2 :

Solve for in the system of equations:

Give the solution to the system of equations below.

What is the sum of and for the following system of equations?

If and , what is the value of ?

Find the solutions for the following set of equations:

What is the solution of that satisfies both equations?

What is the solution of for the two systems?

Jeff, the barista at Moonbucks Coffee, is having a problem. He needs to make fifty pounds of Premium Blend coffee by mixing together some Kona beans, which cost $24 per pound, with some Ethiopian Delight beans, which cost $10 per pound. The Premium Blend coffee will cost $14.20 per pound. Also, the coffee will sell for the same price mixed as it would separately.

How many pounds of Kona beans will be in the mixture?

Solve for .