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

C. No solution

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.

`(-21)/(3)+(15x)/(3)=(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)