Solve Equations Using Substitution

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Make sure at least one equation is solved for one variable.

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (3, 4)

• (4, 3)

• (4, 4)

• (3, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Using the simultaneous equations 7x+7y=-28 and -4 - 0.875x = 1y, find the solution, giving your answer as a coordinate pair

• (1, -4)

• (0, -4)

• (0, -3)

• (-4, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations using substitution:

y = 2x + 5

2x + 2y = 4

• (1, 7)

• (7, 1)

• (2, 9)

• (-1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the Simultaneous Equations: a+b= 3; a-b= -7

• a=-2, b = 5

• a=2, b = -5

• a=2, b = 5

• a=-2, b = -5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

• (3, -24)

• (0, 4)

• (-24, 3)

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8B

Solve the following systems of equations using substitution:

• (2, 2)

• (-2, 2)

• (2, -2)

• (0, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following systems of equations using substitution:

x = 5

2x + y = 10

• No solution

• (0, 5)

• (5, 10)

• (5, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6