7. Systems of Equations & Matrices

Solve each system by substitution.

3y = 5x + 6

x + y = 2

Solve each system by elimination. In systems with fractions, first clear denominators.

4x + y = -23

x - 2y = -17

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

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

5x + 7y = 6

10x - 3y = 46

In Exercises 19–30, solve each system by the addition method. 4x + 3y = 15 2x - 5y = 1

Solve each system by elimination. In systems with fractions, first clear denominators.

6x + 7y + 2 = 0

7x - 6y - 26 = 0

In Exercises 19–30, solve each system by the addition method. 3x - 4y = 11 2x + 3y = - 4

Solve each system by elimination. In systems with fractions, first clear denominators.

x/2+ y/3 = 4

3x/2+3y/2 = 15

Solve each system by elimination. In systems with fractions, first clear denominators.

(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 + 1 3y = 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 = 9-2y x + 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.

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 - 5 21x - 35 = 7y