Solution of System of Equations

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Find the solution:
2x-5y=15
3x+y=31

• (10,1)

• (13, -8)

• (-10,-7)

• No Solution

What is the solution to this system of linear equations?

x + y = -3
y = x - 5

• (1, -4)

• (-1, 4)

• all solutions

• no solution

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• coinciding lines 

• Intersecting lines

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the solution to the given system of equation below?
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

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

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Use substitution to solve the system.
2x - 3y = -2
y = 2

• (-2, 2)

• (2, -2)

• (2, 2)

• (2, 8)

Solve the system of equations using substitution:

4x - 2y = 6

y = 3x - 3

• (0, 1)

• (0, -3)

• (2, 3)

• No solution