Topic: Algebra

Find all ordered pairs (x, y) satisfying x + y = 9 and xy = 14.

• (14, 9)
• (7, 2)
• (9, 14)
• (2, 7)
• (3, 6)

Find all ordered pairs (x, y) satisfying x + y = 2 and xy = -15.

• (-3, 5)
• (-15, 2)
• (-2, 4)
• (2, -15)
• (5, -3)

Find all ordered pairs (x, y) satisfying x + y = 4 and xy = 3.

• (1, 3)
• (2, 2)
• (4, 3)
• (3, 1)
• (3, 4)

Find all ordered pairs (x, y) satisfying x + y = -1 and xy = -20.

• (-1, -20)
• (-5, 4)
• (4, -5)
• (-4, 3)
• (-20, -1)

Find all ordered pairs (x, y) satisfying x + y = 7 and xy = 10.

• (10, 7)
• (7, 10)
• (6, 1)
• (5, 2)
• (2, 5)

Find all ordered pairs (x, y) satisfying x + y = 7 and xy = 6.

• (7, 6)
• (6, 7)
• (6, 1)
• (1, 6)
• (2, 5)

Find all ordered pairs (x, y) satisfying x + y = -4 and xy = 0.

• (0, -4)
• (1, -5)
• (-4, 0)

Find all ordered pairs (x, y) satisfying x + y = -5 and xy = -14.

• (3, -8)
• (-5, -14)
• (-14, -5)
• (-7, 2)
• (2, -7)

Find all ordered pairs (x, y) satisfying x + y = -5 and xy = 4.

• (-1, -4)
• (4, -5)
• (-5, 4)
• (0, -5)
• (-4, -1)

Find all ordered pairs (x, y) satisfying x + y = 7 and xy = 10.

• (10, 7)
• (5, 2)
• (7, 10)
• (6, 1)
• (2, 5)

Find all ordered pairs (x, y) satisfying x + y = -7 and xy = 10.

• (-1, -6)
• (-2, -5)
• (-7, 10)
• (10, -7)
• (-5, -2)

Find all ordered pairs (x, y) satisfying x + y = 7 and xy = 0.

• (7, 0)
• (0, 7)
• (8, -1)

Find all ordered pairs (x, y) satisfying x + y = 10 and xy = 21.

• (7, 3)
• (3, 7)
• (4, 6)
• (10, 21)
• (21, 10)

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