Systems With Substitution

• No Solution

• (2, 2)

• (-1, 2)

• (-1, -2)

Solve by Substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

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

Solve the following system:

y = x + 8 and y = -x + 2

​ (a)   ​

​

• Infinite Solution

• (-2, 6)

• (3,5)

Solve the system.

The x - coordinate is ​​ (a)   .

The y - coordinate is ​ (b)   .

• 2

• 11

• -11

• -2

• 0

• 4

Solve the system using substitution.

y=3x+2

2x+y=12

To solve using substitution, substitute ​ (a)   for the​ (b)   in the ​ (c)  

• 3x+2

• y value

• 2nd equation

• 2x+y

• 12

• x value

• 1st equation

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Solve the system using substitution. ​

x=​ ​ (a)  

y=​ ​ (b)  

• -1

• 2

• -3

• -2

• 3

• 5

solve by substitution: y=3x+14
y=-4x

• y=3

• y=1

• y= - 2

• y=4