Solutions to Linear Equations

Which are true about a linear equation with no solution? SELECT ALL THAT APPLY.

• The slopes are the same on both sides of the equation

• The slopes are different on both sides of the equation

• The y-intercepts are the same on both sides of the equation

• The y-intercepts are different on both sides of the equation

Tags

CCSS.8.EE.C.7A

Two linear equations with two different slopes will have one solution.

• True

• False

Tags

CCSS.8.EE.C.8B

Which of the following is a solution to the equation
2x + 3y = 12

• (0, 3)

• (3, 2)

• (2, 0)

• (-1, -4)

Is the ordered pair (2, 0) a solution to the equation 2x + y = 4?

• yes

• no

• not enough information

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine the values of x and y that satisfy the equations: 7x - 2y = 5 and 3x + 4y = 11

• x = 4, y = 3

• x = 2, y = 4

• x = 3, y = 2

• x = 5, y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Tags

CCSS.HSA.REI.C.9

Determine the values of x and y that satisfy the equations: 6x + 2y = 14 and 3x - 5y = 1

• x = 3, y = 4

• x = 2, y = 5

• x = 1, y = 7

• x = 5, y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine the values of x and y that satisfy the equations: 7x - 2y = 5 and 3x + 4y = 11

• x = 4, y = 3

• x = 2, y = 4

• x = 3, y = 2

• x = 5, y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

x = -3y - 8
x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6