Solving pairs of linear equations in two variables

Solve the system by graphing.
y = (-¹⁄₂)x + 8
y = (-²⁄₃)x + 8

• (0,8)
• (0,-8)
• (2,4)
• (6,5)

Find the solution.

• no solution

• (1, 3)

• (3, 1)

• (-3, -1)

Which system of equations is presented on the graph?

Easiest method:

1. solve each answer choice for y. y=mx+b

2. graph and find the system with the same intersection point as the picture

• 2x+y = 1

  y = - 3x + 4

• y = - 2x + 1

  -3x+y = - 4

• y = 2x + 1

  y +4 = 3x

• 2x+y = -1

  -3x+y = 4

What is the slope of the RED line?

• -1

• +2

• +5

Solve the following system by graphing.  What is the solution?

• (-2, -4)
• (2, -4)
• (-2, 4)
• (2, 4)

• 
• 
• 

What is the solution to the system of equations provided?

• The system has no solution
• There are many solutions
• (2,2)
• (2,-2)

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

Solve for x and y by graphing.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Where do these 2 lines intersect?

• (-3,1)

• (1,-3)

• (3,1)

• (1,3)