Finding Solutions for Linear Systems of Equations

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve the system of equations.

5x+6y= -10

3x-2y= -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system of equations.

-x + y = -13

-8x - 4y = -8

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

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 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

How many solutions does the system of equations on the graph have?

• One Solution

• No Solution

• Many Solutions

2x + 2y = 0
-5x - 2y = -15

• (-5, 5)

• (-5, -5)

• (5, -5)

• (3, -3)

Solve the system of equations

-12x-10y= 0

6x+5y= -1

• infinite solutions

• (0,0)

• no solution

• (2,1)

Methods of solving linear equations system consist of ..

• Iterative solvers

• Linear solvers

• Direct solvers

• Matrices Systems solvers