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bixtya [17]
3 years ago
12

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
Mathematics
1 answer:
quester [9]3 years ago
3 0

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)

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