Solve Linear Equations Using Substitution and Elimination

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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

Identify which method for solving systems is being described by this fact:

Equations must have like terms "stacked" up vertically, usually written in standard form.

• Graphing

• Substitution

• Elimination (linear combination)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When solving the system, if you get a result of something like 6 = 6 or -2 = -2 and the answer is:

• No Solution

• Infinitely Many Solutions

• Not possible

Tags

CCSS.8.EE.C.8B

Find the solution:
2x-5y=15
3x+y=31

• (10,1)

• (13, -8)

• (-10,-7)

• No Solution

Tags

CCSS.8.EE.C.8B

Solve using substitution or elimination. −4x − 2y = −12 4x + 8y = −24

• (5,-5)

• (6,-6)

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

If 2x+3y = 12 and 3x-2y=5 then

• x = 2, y = 3

• x = 2, y = -3

• x = 3, y = 2

• x = 3, y = -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

29x+37y=103 and 37x+29y = 95 then

• x=1, y=2

• x=2, y=1

• x=3, y=2

• x=2, y=3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3x + y = 4
x + 2y = -2

• (2,2)

• (-2,-2)

• (2,-2)

• (-2,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
x + y = 4
-5x - 6y = -18

• (6, -2)

• (-6, 10)

• (2, 2)

• (-2, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6