Solving Systems of Equations

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

Observe the functions below:

f(x) = 2x + 1

g(x) = 4x - 1

At what point does f(x) = g(x)?

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution of the two linear equations shown?

• (1.5,1.5)

• (0,0)

• (1,2)

• None of these

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)
• (-3,8)
• (10,1)
• (10,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Where do these lines intersect?
x-y=11
2x+y=19

• (10,-1)
• (-1,10)
• (3,-4)
• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the ideal method for solving this system?

−4x − 2y = −12

4x + 8y = −24

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.