Substitution System of Linear Equations

Find the x-coordinate to the solution of the system
x = y + 2
5x - 3y = 20
Solve by substituion. 

• 7

• 5

• 3

• 1

Find the x-coordinate to the solution of the system
y = -5
2x + y = -9
Solve by substituion. 

• -2

• -3

• 0

• 1

Find the y-coordinate to the solution of the system
y = 2x
y = -6x + 4
Solve by substituion. 

• 1

• 0.05

• 1/2

• -1

The solution to a system of linear equations is a ordered pair (x,y) that is a solution of EVERY equation in the system. 

• True

• False

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

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• y=3

• y=1

• y= - 2

• y=4

Stagg sells tickets for their musical. On the first day of ticket sales, they sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system correctly represents the situation?

• 3s + c = 38;    3s + 2c = 52

• 3s + c = 52;    3s + 2c = 38

• 3s + c = 52;    3s + c = 38

• 3s + 2c = 38;    3s + 2c = 52

The greenland shark is born with a length of 33cm and grows at a rate of 1.25cm per year. The spiny dogfish shark was born with a length of 22cm and grows at a rate of 0.8cm per year. Which system correctly represents the system?

• y = 1.25x + 33;   y = 0.8x + 22

• y = 1.25 + 33x;   y = 0.8 + 22x

• y = 33x + 1.25;   y = 22x + 0.8

• y = 0.8x + 33;  y = 1.25x + 22

Determine if the following equations have one solution, no solution or infinitely many solutions. 
6x + 2y = 4
3x + y = 2

• One Solution

• No Solution

• Infinitely Many Solutions