Systems of Equations with Eliminations and Substitution

4x - 2y = 7
 x + 2y = 3
What are x and y?

• x = 2, y = 2

• x = 1/2, y = 2

• x = 2, y = 1/2

• x = 2, y = -2

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

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)

• (4,-1)

• (1,4)

• (-1,4)

Solve:
y = 2x -11
-3y = -6x -15

• (-1.5,-4)

• (1.5,4)

• No solution (parallel lines)

• Infinitely many solutions

Solve:
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

If 3x - 2y = 14 and 2x + 2y = 6,
what are x and y?

• x = 1, y = 2

• x = 2, y = 1

• x = -4, y = 1

• x = 4, y = -1

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

What is the solution to the system of equations?

• No Solution

• Infinitely Many Solutions

• (7, -2)

• (-5, -5)

What is the solution to the systems of equations?

• (-7, -9)

• (-10, 5)

• No Solution

• Infinitely Many Solutions