Systems by substitution easy 2

x = 2y

y + x = 30

What is the solution?

• Many Solutions

• No Solution

• (10,20)

• (20,10)

y = x + 3

y = x + 3

What is the solution?

• No Solution

• Many Solutions (0 = 0)

• (3,0)

• (0,3)

LEVEL 1
Solve the system by substitution:

 $y=3x+1$ 

  $3x+y=7$  

• (1, 4)

• (2, 1)

• (0, 1)

• (3, -2)

• (6, 7)

x = 4

y = x + 8

What is the solution?

• (12,4)

• (4,4)

• (4,12)

• (-4,-4)

y = -2x + 18
y = 8

• (5, 8)
• (-5, 8)
• (2, 8)
• (-2, 8)

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

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

y = -2x + 5
y = 2x - 11

• No Solution
• (0, 0)
• (3, -1)
• (4, -3)

Solve the following system:

 $y=-2$  

 $4x-3y=18$  

•  $\left(3,\ -2\right)$  

•  $\left(3,\ 2\right)$  

•  $\left(-2,3\right)$  

•  $\left(2,\ 3\right)$  

What is the solution to the following system:

^{y = 5x}

^{3x + y = 24}

• ^{(15, 3)}

• ^{(3, 5)}

• ^{(3, 15)}

• ^{(5, 3)}