Question

What is the solution of the following system of linear equations? −21 + 15x = 6y −5x + 2y = −8 Select one: A. (15, -7) B. (4, 11) C. no solution D. infinitely many solutions

Answer 1

Answer:

C. No solution

Step-by-step explanation:

System of Equations:

A) $-21+15x=6y$

B) $-5x+2y=-8$

Simplifying and rearranging equation A.

Dividing each term by 3 (common factor for each term) in equation A.

$\frac{-21}{3}+\frac{15x}{3}=\frac{6y}{2}$

$-7+5x=2y$

Subtracting both sides by $2y$

$-7+5x-2y=2y-2y$

$-7+5x-2y=0$

Adding 7 both sides.

$-7+7+5x-2y=0+7$

$5x-2y=7$  

Adding the above equation to equation B.

   $5x-2y=7$  

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

We have $0=-1$

which is not true.

Hence the system has no solution. (Answer)