Solving Linear Equations Substitution

Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24

• (3, 6)

• (-3, -6)

• (-3, -4)

• (3, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following 6 problems using substitution:
3x + 5y = 10  x = y + 6

• x=5, y= -1

• x= -1, y=5

• x=4, y= -1

• x=3, y=2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

-2x + 10y = 64  y = x+4

• x=7, y=3

• x=3, y=7

• x=4, y=6

• x=3, y=6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x - 6y = 20  y = -6x

• x=0.5, y= -3

• x= -0.5, y=-3

• x=0.35, y=-2

• x=5, y=-2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

-5x -8y = -29  y= 3x

• x= -1, y=3

• x=1, y= -3

• x=1, y=3

• x=2, y=3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

• True; using any method will result in the correct solution.

• False; the solution varies because the solution depends on which method is used.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Identify which method for solving systems is being described by this fact:
If one equation is isolated like y = 2x or x = 7 - 4y then this method should be used.

• Graphing

• Substitution

• Elimination (linear combination)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6