Systems of Equations Review

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

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

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

5x - 2y = 6
x - 2y = -2

• (2,2)
• (2,1)
• (1,2)
• (-2,-2)

Solve the system of equations using substitution.

y = 4x+1

3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

Solve for x and y using elimination.

3x + 2y = 16

7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions
• 1 solution
• 2 solutions
• 3 solutions