Question

systems of equations are given below.each system, choose the best description of its solution.pplicable, give the solution.

Answer 1

System A:

Notice that:

$-(-x+5y)=x-5y,$

therefore the first system of equations implies that:

$-5=5,$

the above result is a contradiction, therefore system A has no solution.

System B:

Notice that:

$-(-x+2y)=x-2y,$

therefore the second system of equations implies that:

$6=6,$

then the second system has infinitely many solutions, they must satisfy:

$y=\frac{x}{2}-3.$

Answer:

System A: The system has no solution.

System B: The system has infinitely many solutions, they must satisfy:

$y=\frac{x}{2}-3.$