Systems of Equations Infinite

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1.5)

How many solutions does this system have?

3x-4=-4+3x

• One Solution

• No Solution

• Infinite Solutions

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 for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

For what value of a would the following system of equations have an infinite number of solutions?

2x − y = 8

and 6x − 3y = 4a

(number only)

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

For what value of a would the following system of equations have an infinite number of solutions? 2x − y = 8 and 6x − 3y = 4a (number only)

Select an equation that would have

infinite solutions

when graphed along with this line

• y = 2/3x+1

• y=3x-2

• 2= -3x +1

• y= -2/3x +1

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions