Week 11 Quiz 1: Substitution

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

• get x by itself

• get y by itself

• get either variable by itself in one equation

• add the equations together

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

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

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

solve by substitution: y=3x+14

y=-4x

• (2, 8)

• (-2, -6)

• (-2, 8)

• (-2, -4)

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)
• (11, 1)
• (1, 11)
• no solution

What is the solution?

3x + 5y = 13

2x + y = 4

• Infinite solutions

• (2,1)

• (1,2)

• No solution

x = y - 2
4x + y = 2

• (2,0)
• (0,2)
• (0, -2)
• (-2,0)

Solve the system by substitution method

x = 3

2x + 5y = 16

• (3,2)

• (3, 0)

• (2, 5)

• (2,10)

Solve the system of equations using substitution:

4x - 2y = 6

y = 3x - 3

• (3, 6)

• (0, 1)

• (0, -3)

• (2, 3)

• No solution

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)
• (11, 8)
• (5, 14)
• (8, 11)