Solving Linear Systems Algebraically

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

What does
"solution to a system of equations"
mean?

• It's the point where both equations equal zero

• It's the point where graphs of both equations cross the y-axis

• It's the point that solves both equations at the same time

• It's the point where graphs of both equations cross the x-axis

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

When solving a system algebraically, which expression indicates there is 1 solution?

• 2=2

• -2=6

• x=7

• 0=0

When solving a system algebraically, which expression indicates there is no solution?

When solving a system algebraically, which expression indicates there are infinite solutions?

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

Is (-1, 1) a solution to the system:

x + y = 0

3x - 3y = 0

• Yes, (-1, 1) is the solution

• No, (-1, 1) is not a solution

At which point do the graphs of 2x = y + 5 and 6x + 2y = -5 intersect?

• (2, -4)

• (-4, 1)

• (1/2, -4)

• (-3/2, -8)