5.2 Substitution Method

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

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

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

y = -6
-3x - 6y = 24

• (6, 6)
• (6, -6)
• (4, -6)
• (-6, 4)

What is the solution?

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

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

What is the value of the x-coordinate to the solution to this system of linear equations?

2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

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

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

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)
• (5,4)
• (4,5)
• (2,-1)

x-y=11
2x+y=19

• (10,-1)
• (-1,10)
• (3,-4)
• (6,7)