Algebra

Find all ordered pairs (x, y) satisfying x + y = -3 and xy = 0.

• (0, -3)
• (-3, 0)
• (-2, -1)

Find all ordered pairs (x, y) satisfying x + y = 0 and xy = -9.

• (-3, 3)
• (-2, 2)
• (0, -9)
• (-9, 0)
• (3, -3)

Find all ordered pairs (x, y) satisfying x + y = -7 and xy = 12.

• (-4, -3)
• (-2, -5)
• (-7, 12)
• (12, -7)
• (-3, -4)

Solve the system 5x + 2y = 20 and -2x + 3y = -8.

• x=0, y=4
• x=5, y=-1
• no unique solution
• x=4, y=0

Solve the system 5x + 1y = 31 and 3x + 4y = 5.

• no unique solution
• x=7, y=-4
• x=-4, y=7
• x=8, y=-5

Solve the system 5x + 3y = 5 and -2x + 4y = -28.

• x=4, y=-5
• x=5, y=-6
• no unique solution
• x=-5, y=4

Solve the system 4x + 1y = 4 and 2x + -1y = -4.

• x=1, y=3
• no unique solution
• x=4, y=0
• x=0, y=4

Solve the system 4x + 1y = 11 and -2x + -1y = -3.

• x=-5, y=4
• x=5, y=-6
• x=4, y=-5
• no unique solution

Solve the system 3x + 2y = 11 and -2x + 2y = -4.

• no unique solution
• x=4, y=0
• x=1, y=3
• x=3, y=1

Solve the system 5x + 2y = 3 and 2x + 4y = 14.

• no unique solution
• x=4, y=-1
• x=-1, y=4
• x=0, y=3

Solve the system 5x + -1y = -8 and -2x + 2y = 8.

• x=-1, y=3
• x=0, y=2
• no unique solution
• x=3, y=-1

Solve the system 2x + 1y = 24 and -2x + 2y = 0.

• x=9, y=7
• no unique solution
• x=8, y=8

Solve the system 4x + 2y = -10 and 3x + 3y = 0.

• x=5, y=-5
• no unique solution
• x=-4, y=4
• x=-5, y=5

Solve the system 2x + -1y = -19 and 2x + 3y = 17.

• x=-4, y=8
• no unique solution
• x=-5, y=9
• x=9, y=-5

Solve the system 3x + -1y = -8 and 2x + -1y = -4.

• x=-4, y=-4
• x=-3, y=-5
• no unique solution

Solve the system 5x + 1y = 27 and 2x + 4y = 36.

• x=4, y=7
• x=7, y=4
• no unique solution
• x=5, y=6

Solve the system 4x + 2y = 38 and 3x + -1y = 16.

• no unique solution
• x=7, y=5
• x=8, y=4
• x=5, y=7

Solve the system 3x + 2y = 24 and 2x + 2y = 20.

• x=5, y=5
• x=6, y=4
• x=4, y=6
• no unique solution

Solve the system 3x + 1y = 15 and 2x + 3y = 10.

• x=0, y=5
• x=5, y=0
• x=6, y=-1
• no unique solution

Solve the system 5x + -1y = 38 and 3x + 3y = 12.

• x=8, y=-4
• x=7, y=-3
• no unique solution
• x=-3, y=7