5.4 Review

Before we get started, how do you feel when you hear that we are now going to be solving system of equation word problems?

• 🤩 Fantastic, bring on the challenge!

• 🙂 Maybe it will be okay.

• 😕 A bit concerned, but willing to try it.

• 😭 I don't wanna!

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• Intersecting lines

• Identical line

• Parallel lines

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines intersect.

• All of the above.

Solve the linear system:

3x +4y = -25

2x - 3y = 6

• (-3, -4)

• (-4, -3)

• (4, 3)

• (3, -4)

Solve the linear system:

4x + 7y = 6

6x + 5y = 20

• (5, -2)

• (10, 5)

• (-2, 5)

• (4, 8)

Solve the linear system:

2x - y = 6

3x + 4y = -2

• (3, -5)

• (2, -2)

• (2, 2)

• (-2, 0)