Systems of Equations

Solve by Graphing

100

y= -2x + 2

AND

y= (1/3)x - 5

(3,-4)

200

y= (-3/2)x + 1

AND

y=(1/2)x - 3

(2, -2)

300

-2x + 3y = -9

AND

x + y = 2

(3, -1)

400

5x + 2y = -4

AND

-x + 2y = 8

(-2, 3)

500

-5x + 4y = -16

AND

x + 4y = 8

(4, 1)

Solve by Elimination

100

-4x - 2y = -12

AND

4x + 8y = -24

(6, -6)

200

-6x + 6y = 6

AND

-6x +3y = -12

(5, 6)

300

-4x + 9y = 9

AND

x - 3y = -6

(9, 5)

400

-3x + 7y = -16

AND

-9x + 5y = 16

(-4, -4)

500

-7x + y = -19

AND

-2x + 3y = -19

(2, -5)

Solve by Substitution

100

y = -2

AND

4x - 3y =18

(3, -2)

200

2x - 3y = -1

AND

y = x - 1

(4, 3)

300

-3x - 3y = 3

AND

y = -5x - 17

(-4, 3)

400

y = -3x + 5

AND

5x - 4y = -3

(1, 2)

500

-7x - 2y = -13

AND

x - 2y = 11

(3, -4)

Anything Goes

100

y = -1

AND

y = (-5/2)x + 4

(3, -2)

200

y = 4x + 3

AND

y = -x - 2

(-1, -1)

300

y = 6x - 11

AND

-2x - 3y = -7

(2, 1)

400

-6x + 2y =- -4

AND

x + 2y = 6

(2, 2)

500

-4x - 2y = 14

AND

-10x + 7y = -25

(-1, -5)

Word Problems

100

Find the value of two numbers if their sum is 12 and their difference is 4.

4 and 8

200

The difference of two numbers is 3. Their sum is 13. Find the numbers.

5 and 8

300

Our school is selling tickets to a choral performance. On the first day of ticket sales we sell 3 senior citizen tickets and 1 child ticket for a total of $38. We made $52 on the second day, selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Senior ticket: $8, Child ticket: $14

400

Two complementary angles have measures of s and t. If t is less than twice s, which system of linear equations can be used to determine the measure of each angle?

t + s = 90 

t = 2s - 90

500

Dotz decides to sell sundaes for $2 and banana splits for $3. On a hot summer day, they sell 8 more sundaes than banana splits and made $156. 

Find the system of equations to figure out how many of each they sold.

2s + 3b = 156 

s = b + 8