Chapter 4: Systems of Equations

Solve Systems of Equations: Substitution

100

y = 2x

x + y = 9

(3, 6)

200

y = -3x

4x + y = 2

(2, -6)

300

x + y = 10

y = x - 4

(7, 3)

400

y = 3 - 2x

4x + 2y = 6

Infinite Many Solutions

500

y = 2x - 3

-2x + y = 1

No Solution

Solve the Equation

100

4x + 5 = 25

x = 5

200

3(c + 4) = 5c + 14

c = -1

300

5x - 4(x - 3) = 8

x = -4

400

x - 4 = 5(x + 2)

x = -3.5

500

(x - 3)(x + 5) = x² -7x - 15

x = 0

Solve Systems of Equations: Elimination

100

2x + y = 6

-2x + y = 2

(1, 4)

200

y - x = 4

2y + x = 8

(0, 4)

300

2x - 3y = -9

x + y = -2

(-3, 1)

400

2x - 2y = 5

2x - 3y = 3

(4.5, 2)

500

-4x + 6y = -20

2x - 3y = 10

Infinite Many Solutions

Solve Absolute Value Equations

100

-2|x| = -10

x = 5 or x = -5

200

|2x + 3| = -7

No solution

300

|5 - x| = 9

x = -4 or x = 14

400

|3x + 2| = 11

x = 3 or x = 13/3 (4.3)

500

|4x + 1| = 10

x = 9/4 (4.75) or x = -11/4 (-2.75)