Question

Solve the system of linear equations 3x-2y=16
6x-4y=32

Answer 1

Explanation:

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Answer 2

Step by Step Solution

System of Linear Equations entered :

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

// Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Infinitely many solutions