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{x−y=72x+y=-1{𝑥-𝑦=72𝑥+𝑦=-1Which is the solution to the system of equations shown? x=-1,y=-7𝑥=-1,𝑦=-7 x=-2,y=5𝑥=-2,𝑦=5 x=-5,y=2𝑥=-5,𝑦=2 x=2,y=-5𝑥=2,𝑦=-5

Question

{x−y=72x+y=-1{𝑥-𝑦=72𝑥+𝑦=-1Which is the solution to the system of equations shown? x=-1,y=-7𝑥=-1,𝑦=-7 x=-2,y=5𝑥=-2,𝑦=5 x=-5,y=2𝑥=-5,𝑦=2 x=2,y=-5𝑥=2,𝑦=-5

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Solution 1

The solution to the system of equations can be found by adding the two equations together.

First, let's write down the system of equations:

x - y = 7 x + y = -1

If we add these two equations together, we get:

2x = 6

Then, we can solve for x by dividing both sides of the equation by 2:

x = 6 / 2 x = 3

Now that we have the value for x, we can substitute it into the first equation to solve for y:

3 - y = 7 y = 3 - 7 y = -4

So, the solution to the system of equations is x = 3, y = -4. However, this option is not listed in your choices. There might be a mistake in the problem or the provided choices.

This problem has been solved

Solution 2

The solution to the system of equations can be found by either substitution or elimination method.

The system of equations is:

x - y = 7 x + y = -1

Let's use the elimination method:

Step 1: Add the two equations together:

x - y + x + y = 7 - 1 2x = 6 x = 6 / 2 x = 3

Step 2: Substitute x = 3 into the first equation:

3 - y = 7 -y = 7 - 3 -y = 4 y = -4

So, the solution to the system of equations is x = 3, y = -4. However, this option is not listed in your choices. There might be a mistake in the problem or the answer choices.

This problem has been solved

Solution 3

The solution to the system of equations can be found by adding the two equations together.

First, let's write down the system of equations:

x - y = 7 x + y = -1

If we add these two equations together, we get:

2x = 6

Then, we can solve for x by dividing both sides of the equation by 2:

x = 6 / 2 x = 3

Now that we have the value for x, we can substitute it into the first equation to solve for y:

3 - y = 7 -y = 7 - 3 -y = 4

Finally, we solve for y by multiplying both sides of the equation by -1:

y = -4

So, the solution to the system of equations is x = 3, y = -4. However, this option is not listed in the choices you provided. There might be a mistake in the problem or the answer choices.

This problem has been solved

Solution 4

The solution to the system of equations can be found by either substitution or elimination method.

  1. First, let's use the elimination method. We can add the two equations together:

    x - y + x + y = 72 - 1 2x = 71 x = 71 / 2 x = 35.5

  2. Substitute x = 35.5 into the first equation:

    35.5 - y = 72 -y = 72 - 35.5 -y = 36.5 y = -36.5

So, the solution to the system of equations is x = 35.5, y = -36.5. However, this solution is not listed in the options you provided. There might be a mistake in the problem or the provided options.

This problem has been solved

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