7. Systems of Equations & Matrices

Solve each problem. Find the radius and height (to the nearest thousandth) of an open-ended cylinder with volume 50 in.^3 and lateral surface area 65 in.^2.

Solve each problem. The supply and demand equations for a certain commodity are given.supply: p = 2000/(2000 - q) and demand: p = (7000 - 3q)/2qFind the equilibrium demand.

Solve each problem. The supply and demand equations for a certain commodity are given.supply: p = 2000/(2000 - q) and demand: p = (7000 - 3q)/2qFind the equilibrium price (in dollars).

Solve each problem. The supply and demand equations for a certain commodity are given.supply: p = √(0.1q + 9) - 2 and demand: p = √(25 - 0.1q)Find the equilibrium demand.

Solve each problem. The supply and demand equations for a certain commodity are given.supply: p = √(0.1q + 9) - 2 and demand: p = √(25 - 0.1q)Find the equilibrium price (in dollars).

Solve each problem. Find all values of b such that the straight line 3x - y = b touches the circle x^2 + y^2 = 25 at only one point.

Solve each problem. Find the equation of the line passing through the points of intersection of the graphs of x^2 + y^2 = 20 and x^2 - y = 0.

In Exercises 47–52, solve each system by the method of your choice. 2x^2+xy=6, x^2+2xy=0