Chapter 6 Review

(-1, 1)

Determine the best method to solve each system of equation. Then solve the system: 3x+7y=4 and 5x-7y=-12

(6, -2)

Use elimination to solve each system of equation: x+y=4 and x-y=8

(10, 2)

Use elimination to solve each system of equation: x-4y=2 and 3x+4y=38

(5, 7)

Use elimination to solve each system of equation: x-y=-2 and 2x+4y=38

(-2, 6)

Use elimination to solve each system of equation: x-y=-8 and 7x+5y=16

(2, -5)

Seven times a number plus three times another number equals negative one. The sum of the two numbers is negative three. What are the numbers?

(5, 17)

The sum of two numbers is 22, their difference is 12. What are the numbers?

(2, 3)

Use substitution to solve each system of equation: y=-4x+11 and 3x+y=9

(-3, -11)

Use substitution to solve each system of equation: y=3x-2 and y=2x-5

(29, 53)

Use substitution to solve each system of equation: y=3x-34 and y=2x-5

(2, 13)

Use substitution to solve each system of equation: y=4x+5 and 2x+y=17

(1, 6)

Use substitution to solve each system of equation: y=5x+1 and 4x+y=10

(4, 0)

A number minus twice another number is 4. Three times the first number plus two times the second number is 12. What are the numbers.

(1, 3)

Determine the best method to solve each system of equation. Then solve the system: -5x+4y=7 and -5x-3y=-14

(2, -2)

Determine the best method to solve each system of equation. Then solve the system: 2x+6y=-8 and x-3y=8

(-2, 1)

Determine the best method to solve each system of equation. Then solve the system: 3x+2y=-4 and 5x+2y=-8

(24, -4)

Determine the best method to solve each system of equation. Then solve the system: x+3y=12 and x=-6y

(14, -4)

Determine the best method to solve each system of equation. Then solve the system: x+y=10 and x-y=18

(0, 0)

Determine the best method to solve each system of equation. Then solve the system: y=-x and y=2x

(2, -6)

Determine the best method to solve each system of equation. Then solve the system: y=x-8 and y=-3x

(-1, 9)

Use elimination to solve each system of equation: 8x-3y=-35 and 3x+4y=33

(2, -10)

Use elimination to solve each system of equation: x+3y=-28 and y=-5x

(1, 1)

Use substitution to solve each system of equation: 2x+y=3 and 4x+4y=8

(2, 0)

Use substitution to solve each system of equation: 2x+y=4 and -2x+y=-4

(-1, 0)

Use substitution to solve each system of equation: 3x+4y=-3 and x+2y=-1

(2, 5)

Use substitution to solve each system of equation: 5x-y=5 and -x+3y=13

No Solution

Use substitution to solve each system of equation: x=y-1 and -x+y=-1

(0, 1)

Use substitution to solve each system of equation: y=-3x+1 and 2x+y=1

Infinite Solutions

Use substitution to solve each system of equation: y=-3x+4 and -6x-2y=-8

(25, 16)

Find the two numbers with a sum of 41 and a difference of 9.

(6, 18)

The sum of two numbers is 24. Five times the first number minus the second number is 12. What are the two numbers?

(2, -4)

Use elimination to solve each system of equation: 8x+3y=4 and -7x+5y=-34

(9, 4)

Use elimination to solve each system of equation: x+y=13 and x-y=5

(-1, 3)

Use elimination to solve each system of equation: x+y=2 and -3x+4y=15

(3, 12)

Use elimination to solve each system of equation: y=5x-3 and x+2y=27

(0, -3)

Use graphing to solve each system of equation: -3x+y=-3 and y=x-3

(3, 2)

Use graphing to solve each system of equation: x-y=1 and x+y=5

(1, -2)

Use graphing to solve each system of equation: y=2x-4 and 4x+y=2

(-3, 1)

Use elimination to solve each system of equation: -4x+5y=17 and 4x+6y=-6

(0, 4)

Use elimination to solve each system of equation: -7x+3y=12 and 2x-8y=-32

(-3, 4)

Use elimination to solve each system of equation: -x+y=7 and x+y=1

(-2, 3)

Use elimination to solve each system of equation: 2x+5y=11 and 4x+3y=1

(6, -1)

Use elimination to solve each system of equation: 2x+9y=3 and 5x+4y=26

(2, 9)

Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers.

(-1, -3)

Use elimination to solve each system of equation: 2x+y=-5 and x-y=2

(4, 2)

Use elimination to solve each system of equation: 3x+2y=16 and x=3y-2

(3, -2)

Use elimination to solve each system of equation: 3x+4y=1 and 5x+2y=11

(3, 5)

Use elimination to solve each system of equation: 3x+4y=29 and 6x+5y=43

(0, 2)

Use elimination to solve each system of equation: 3x-3y=-6 and -5x+6y=12

(-6, -8)

Use elimination to solve each system of equation: 4x+7y=-80 and 3x+5y=-58

(6, 3)

Use elimination to solve each system of equation: 5x-2y=24 and 3x+2y=24

(-7, 3)

Use elimination to solve each system of equation: 6x+y=-39 and 3x+2y=-15

(4, -1)

Use elimination to solve each system of equation: 6x-3y=27 and 2x-3y=11

(-3 ,-4)

Use elimination to solve each system of equation: 6x-6y=6 and 3x-6y=15

(-3, 5)

Use elimination to solve each system of equation: 7x+3y=-6 and 7x-2y=-31

(1, -5)

Use elimination to solve each system of equation: 8x+3y=-7 and 7x+2y=-3

(4, -2)

Use elimination to solve each system of equation: x+4y=-4 and x+10y=-16