Systems of Linear Functions

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

• (0, 2)

• (2, 0)

• (2, -2)

• (-2, -2)

• (-2, 2)

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 3)

• (-3, 0)

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (2, -5)

• (5, -2)

• (-5, -2)

• (-2, 5)

• (-2, -5)

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Solve the system of equations.
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)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Victoria buys a total of 2.5 pounds of peaches and grapefruit at the store. Peaches cost $1.58 per pound and grapefruit cost $1.09 per pound. If she spends a total of $3.46, which system of equations can be used to determine the weight of the peaches, p, and grapefruit, g that Victoria bought?