7. Systems of Equations & Matrices

Solve each system by substitution. See Example 1.3y = 5x + 6 x + y = 2

Solve each system by elimination. In systems with fractions, first clear denominators. See Example 2.4x + y = -23x - 2y = -17

In Exercises 19–30, solve each system by the addition method.x + y = 1x - y = 3

In Exercises 19–30, solve each system by the addition method.2x + 3y = 62x - 3y = 6

In Exercises 19–30, solve each system by the addition method.x + 2y = 2- 4x + 3y = 25

Solve each system by elimination. In systems with fractions, first clear denominators. See Example 2.5x + 7y = 6 10x - 3y = 46

In Exercises 19–30, solve each system by the addition method.4x + 3y = 152x - 5y = 1

Solve each system by elimination. In systems with fractions, first clear denominators. See Example 2.6x + 7y + 2 = 07x - 6y - 26 = 0

In Exercises 19–30, solve each system by the addition method.3x - 4y = 112x + 3y = - 4

Solve each system by elimination. In systems with fractions, first clear denominators. See Example 2.x/2+ y/3 = 43x/2+3y/2 = 15

Solve each system by elimination. In systems with fractions, first clear denominators. See Example 2.(2x-1)/3 + (y+2)/4 = 4(x+3)/2 - (x-y)/2 = 3

In Exercises 19–30, solve each system by the addition method.3x = 4y + 13y = 1 - 4x

In Exercises 31–42, 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. x = 9-2yx + 2y = 13

Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions, write the solution set with x arbitrary. See Examples 3 and 4.9x - 5y = 1 -18x + 10y = 1

In Exercises 31–42, 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. y = 3x - 521x - 35 = 7y