Question

Solve the system of linear equations 2x -3y =1 -4x+6y=-4

Answer 1

Answer: the system of linear equations has no solutions.

Step-by-step explanation:

The given system of linear equations is expressed as

2x -3y =1 - - - - - - - - - - - - -1

-4x+6y=-4 - - - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 2 and equation 2 by 1. It becomes

4x - 6y = 2

- 4x + 6y = - 4

Adding both equations, it becomes

4x - 4x - 6x + 6x = 2 - 4

0 = -2

Therefore, there is no solution to the system of linear equations

Answer 2

Answer:

No solution

Step-by-step explanation:

Given equations are:

$\[2x-3y=1\]$  ---------------------(1)

$\[-4x+6y=-4\]$  -------------------(2)

Multiplying equation 1 by 2:

$\[4x-6y=2\]$  ---------------------(3)

Adding equations (2) and (3):

0=-2

This is an impossible equality.That means that there are no solutions to the given system of linear equations.