Question

What is the solution of the following system of linear equations? −21 + 15x = 6y −5x + 2y = −8

Answer 1

(13/15,-11/24)
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Answer 2

The system of linear equation has no solution.

Explanation:

Given : The system of linear equations are

`-21+15x=6y` and
`-5x+2y=-8`

To find : What is the solution of the following system of linear equations?

Solution :

Equation 1 -
`-21+15x=6y`

`-7+5x=2y`

`y=(5x-7)/(2)`

Equation 2 -
`-5x+2y=-8`

Substitute the value of y from equation (1) in equation (2),

`-5x+2((5x-7)/(2))=-8`

`-5x+5x-7=-8`

`-7\\eq -8`

As it is not true.

So, the system of equation does not exist.

Therefore, The system of linear equation has no solution.