7. Systems of Equations & Matrices

Use the substitution or elimination method to solve each system of equations. Identify any inconsistent systems or systems with infinitely many solutions. If a system has infinitely many solutions, write the solution set with y arbitrary. 2x + 6y = 6 5x + 9y = 9

In Exercises 1–4, determine whether the given ordered pair is a solution of the system.(2, 3)x + 3y = 11x - 5y = - 13

In Exercises 1–5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.

In Exercises 1–5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.

In Exercises 1–4, determine whether the given ordered pair is a solution of the system.(2, 5)2x + 3y = 17x + 4y = 16

Use the substitution or elimination method to solve each system of equations. Identify any inconsistent systems or systems with infinitely many solutions. If a system has infinitely many solutions, write the solution set with y arbitrary. 1/6x + 1/3y = 81/4x + 1/2y = 12

In Exercises 5–18, solve each system by the substitution method.x + y = 4y = 3x

A chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to obtain 100 milliliters of a mixture that is 7% silver nitrate. How many milliliters of each of the solutions must be used?

In Exercises 5–18, solve each system by the substitution method.x + 3y = 8y = 2x - 9

Solve each system by substitution. See Example 1. 4x + 3y = -13-x + y = 5

Solve each system by substitution. See Example 1.x - 5y = 8 x = 6y

The perimeter of a table tennis top is 28 feet. The difference between 4 times the length and 3 times the width is 21 feet. Find the dimensions.

In Exercises 5–18, solve each system by the substitution method.x = 4y - 2x = 6y + 8

Solve each problem. Alcohol MixtureBarak wishes to strengthen a mixture that is 10% alcohol to onethat is 30% alcohol. How much pure alcohol should he add to 12 L of the 10% mixture?