Solving Linear System by Substitution

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

What is the solution to the system?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Tags

CCSS.8.EE.C.8A

Solve for x and y using substitution

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by substitution:

y + 14 = 3x

y = -4x

Type your answer as (x, y)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which problem would be easier to solve by substitution?

• y + x = 3

  2y + x = 6

• 3y - x = 7

  2y = x + 6

• 5x - 2y = 6

  x + y = 2

• y = 2x + 2

  x + y = 7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

An ordered pair that satisfies both equations in a system of linear equations is called a ​ (a)   to the system of equations.

• solution

• coordinate

• inconsistent

• input

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The sum of two numbers is 50. The bigger number is 5 times the smaller number. What are the two numbers?

Tags

CCSS.8.EE.C.8C

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

Tags

CCSS.8.EE.C.8B