Solving Pairs of Linear Equations

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

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

• (-2, -4)

• (2, -4)

• (-2, 4)

• (2, 4)

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

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 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

Determine the values of x and y that satisfy the equations: 7x - 2y = 5 and 3x + 4y = 11

• x = 4, y = 3

• x = 2, y = 4

• x = 3, y = 2

• x = 5, y = 1

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

Determine the values of x and y that satisfy the equations: 6x + 2y = 14 and 3x - 5y = 1

• x = 3, y = 4

• x = 2, y = 5

• x = 1, y = 7

• x = 5, y = 2

Determine the values of x and y that satisfy the equations: 6x + 2y = 14 and 3x - 5y = 1

• x = 3, y = 4

• x = 2, y = 5

• x = 1, y = 7

• x = 5, y = 2