Solving Pairs of Linear Equations with Variables on Both Sides

There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the answer using substitution: Please list your answer as a coordinate (x,y)

(a)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the systems with any method you choose: Check all that apply:

• x= -5/2

• y=-5/2

• No Solutions

• Infinitely Many Solutions

• x=0

Tags

CCSS.8.EE.C.8B

If a system of two linear equations has infinitely many solutions, which of the following statements describes the graph of the corresponding two lines in the xy-plane?

• The lines are coinciding.

• The lines are intersecting at only one point.

• The lines are parallel.

• The lines are perpendicular.

Tags

CCSS.8.EE.C.8A

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

3x + 10 + 2x = 2 (x + 8)

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

-2x (left side)

-2x (right side)

/2x (left side)

/2x (right side)

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Describe what was done in each solving step!

• Divide by -10 on both sides

• Step 5

• Combine Like Terms

• Step 2

• Subtract 4x from both sides

• Step 1

• Subtract 10 from both sides

• Step 3

• Distribute

• Step 4

p = 4

p = -7

p = -4

p = 11

• p = 4

• p = -7

• p = -4

• p = 11

• v=0

• v=12

• No Solution

• All Real Numbers

Tags

CCSS.8.EE.C.7A