Systems of Equations

Solving by Graphing

100

The solution to the system of equations:

y = 3x - 2
y = -x - 2

(0, -2)

200

The solution to the system of equations:

y = -3
x = 5

(5, -3)

300

The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

(3, -2)

400

The solution to the system of equations:

y - 3x = 3
y = 3x - 2

no solution

500

The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

Quadrant II

Solving by Substitution

100

The solution to the system:

x = 4y
2x + 3y = 22

(8, 2)

200

The solution to the system

y = x - 2
3x - y = 16

(7, 5)

300

The solution to the system

y = 3x - 1
7x + 2y = 37

(3, 8)

400

The solution to the system

3s - 2t = 4
t = 2s - 1

(-2, -5)

500

The solution to the system

t + u = 12
t = (1/3)u

(3, 9)

Solving by Elimination

100

The solution to the system of equations:

r + s = -6
r - s = -10

(-8, 2)

200

The solution to the system:

2x + 3y = 6
3x + 5y = 15

(-15, 12)

300

The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

(24, 8)

400

The solution to the system:

8a + 5b = 9
2a - 5b = -4

(0.5, 1)

500

The solution to the system

2a - 4b = 12
-8a + 16b = -48

infinitely many solutions