Systems of Equations No, Many, One Solution

a system of equations in which the equations intersect at one point.

• One solution

• solution

• No solution

• Infinitely many solutions

a system of equations in which the equations create parallel lines.

• One solution

• solution

• No solution

• Infinitely many solutions

The Solution to a 1 solution system of equation.

• intersection point

• systems of equations

• intersect

• Solution

• Infinitely many solutions

Any value for the variable would make the systems of equations true.

• One solution

• solution

• No solution

• Infinitely many solutions

How many solutions does the system of equations have?

• One solution

• No solution

• Infinite solutions

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Find the solution to the following pair of equations: 3x + 2y = 10 and 4x - y = 8

• x = 3, y = 5

• x = 1, y = 3

• x = 4, y = 6

• x = 2, y = 4

Find the solution to the following pair of equations: 3x + 2y = 10 and 4x - y = 8

• x = 3, y = 5

• x = 1, y = 3

• x = 4, y = 6

• x = 2, y = 4

How many solutions does the system of equations on the graph have?

• One Solution

• No Solution

• Many Solutions

6x + y = + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)