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solmaris [256]
4 years ago
14

What is the solution to the system of equations? Negative one-half x + one-half y = negative 1 x minus y = 2 There is no solutio

n. There are infinitely many solutions. There is only one solution, (3, 1). There is only one solution, (–6, –8).
Mathematics
2 answers:
Grace [21]4 years ago
4 0

There are infinitely many solutions.

Explanation:

The equation is -\frac{1}{2} x+\frac{1}{2}y=-1 and x-y=2

Now, we shall solve the equation by substitution method.

Let us substitute x=y+2 in -\frac{1}{2} x+\frac{1}{2}y=-1

-\frac{1}{2}(y+2)+\frac{1}{2} y=-1

Multiplying the terms within the bracket,

-\frac{1}{2} y-1+\frac{1}{2} y=-1

Adding both sides by 1, we get,

-\frac{1}{2} y+\frac{1}{2} y=0

Adding both sides by \frac{1}{2} y,

\frac{1}{2} y=\frac{1}{2} y

Since, both sides of the equation are equal, the system of equations have infinitely many solutions.

beks73 [17]4 years ago
3 0

Answer:

D

Step-by-step explanation:

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