Algebra Chapter 6 Test Review - Systems of Equations

one solution; (0, 0)

How many solutions are in this system? What is it/are they?

y = -3/2x and y = -1/2x

What are the equations for this system?

infinitely many solutions

How many solutions are in this system? What is it/are they?

y = 1/2x - 2 and x - 2y = 4

What are the equations for this system?

no solution

How many solutions are in this system? What is it/are they?

y = -2/3x + 2 and y = -2/3x - 2

What are the equations for this system?

one solution; (-2, -3)

How many solutions are in this system? What is it/are they?

y = -3 and y = x - 1

What are the equations for this system?

infinitely many solutions

How many solutions are in this system? What is it/are they?

y = 2x + 1 and 2x - y = -1

What are the equations for this system?

one solution; (1, -1)

How many solutions are in this system? What is it/are they?

y = 3x - 4 and y = -x

What are the equations for this system?

no solution

How many solutions are in this system? What is it/are they?

y = -3/2x + 3 and y = -3/2x + 1

What are the equations for this system?

one solution; (2, 3)

How many solutions are in this system? What is it/are they?

y = 2x + 1 and y = -1/2x + 4

What are the equations for this system?

no solution

How many solutions are in this system? What is it/are they?

y = -4x + 3 and y = -4x - 2

What are the equations for this system?

(1, 4)

solve by substitution: y = 4x and x + y = 5

(3, 9)

solve by substitution: y = 3x and 2x + y = 15

(2, 1)

solve by substitution: y = x - 1 and x + y = 3

(-2, -9)

solve by substitution: y = 4x - 1 and y = 2x - 5

(6, -3)

solve by substitution: 2x - 3y = 21 and y = 3 - x

(2, -3)

solve by substitution: x = 2 and 2x + y = 1

(1, 2)

solve by substitution: y = 2x and x + y = 3

(-1, 5)

solve by substitution: y = 3x + 8 and 5x + 2y = 5

no solution

solve by substitution: x = -5y + 4 and 3x + 15y = -1

(-2, -4)

solve by substitution: y = 2x and x + 3y = -14

infinitely many solutions

solve by substitution: y = 3x - 2 and y = 3x - 2

no solution

solve by substitution: y = 3x + 5 and y = 3x + 4

no solution

solve by substitution: y = 3 and y = 5

no solution

solve by substitution: y = 5x - 1 and y = 5x + 2

infinitely many solutions

solve by substitution: y = 5x - 9 and y = 5x - 9

(-6, 1)

solve by substitution: x = y - 7 and x = -8y + 2

no solution

solve by substitution: 2x + y = 5 and 2x + y = 7

infinitely many solutions

solve by substitution: 2x + y = 7 and y = -2x + 7

infinitely many solutions

solve by substitution: 3x + y = 8 and y = -3x + 8

(2, 1)

x - y = 1, x + y = 3

(5, 6)

-x + y = 1, x + y = 11

(11, 0)

x + 4y = 11, x - 6y = 11

(6, 4)

-x + 3y = 6, x + 3y = 18

(-3, 7)

3x + 4y = 19, 3x + 6y = 33

(-8, 0)

x + 4y = -8, x - 4y = -8

(2, -1)

3x + 4y = 2, 4x - 4y = 12

(-1, -2)

3x - y = -1, -3x - y = 5

(-3, -5)

2x - 3y = 9, 5x + 3y = -30

(0, -4)

x - y = 4, 2x + y = -4

(10, 4)

3x - y = 26, -2x - y = -24

(-1, 1)

5x - y = -6, -x + y = 2

(-3, 4)

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

(-1, 2)

2m + 3n = 4, -m + 2n = 5

(1, 1)

3a - b = 2, a + 2b = 3

(-1, 2)

4x + 5y = 6, 6x - 7y = -20

(4, -2)

4x - 3y = 22, 2x - y = 10

infinitely many solutions

3x - 4y = -4, 6x - 8y = -8

(2, -1)

4x - y = 9, 5x + 2y = 8

(-0.5, 2)

4x - 3y = -8, 2x + 2y = 3

(2.5, 0)

2x + 2y = 5, 4x - 4y = 10

(1, 0.2)

x + 10y = 3, 4x + 5y = 5

(-5, -4)

3x - 2y = -7, 2x - 5y = 10

infinitely many solutions

x + y = 3, 2x + 2y = 6

no solution

x + y = 3, 2x + 2y = 4