Chapter 6 solve a system of equations graphing or substitution

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Solve for x and y

3x + 2y = 16

y = -7x + 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

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

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

• intersecting lines
• parallel lines
• same lines

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Solve the system by substitution. 
-5x - 4y = -9
y = 6

• (3, 6)
• (6, -3)
• (-3, 6)
• (6.8, 3)

In 3x + 2y = 10    and    x - 5y = 18, which variable should you isolate first?

• The x in the first equation
• The y in the second equation

• The y in the first equation

• The x in the second equation