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What is the solution to the system of equations?

-1/2x+1/2y=-1

x-y=2

a. There is no solution.

b. There are infinitely many solutions.

c. There is only one solution, (3, 1).

d. There is only one solution, (–6, –8).

Respuesta :

semsee45

Answer:

b. infinite solutions

Step-by-step explanation:

[tex]-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2[/tex]

Therefore, the graphs are the same.

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

unicornetfairies

Answer:

There's one solution (2,0)

Hope this helps!

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