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

Answer:

The system of linear equation has no solution.

Step-by-step 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 - $-21+15x=6y$

$-7+5x=2y$

$y=\frac{5x-7}{2}$

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

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

$-5x+2(\frac{5x-7}{2})=-8$

$-5x+5x-7=-8$

$-7\neq -8$

As it is not true.

So, the system of equation does not exist.

Therefore, The system of linear equation has no solution.