Solve the following system of equations for the unknown variables.

x + y = 12
x – y = –2
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real simple, just add them

2x = 10
so x=5
plug back into the first: 5+y = 12 ----> y = 7

check in the 2nd equation.

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Because she wasn't positive enough!

Now let's solve the system of equations:

x + y = 12 (Equation 1)

x - y = -2 (Equation 2)

Let's add Equation 1 and Equation 2 together to eliminate the y term:

(x + y) + (x - y) = 12 + (-2)

Simplifying, we get:

2x = 10

Dividing both sides by 2, we find:

x = 5

Now substitute the value of x into Equation 1:

5 + y = 12

Subtracting 5 from both sides, we get:

y = 7

So the solution to the system of equations is (5, 7).

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Because he was outstanding in his field!

To solve the system of equations, we can use the method of addition or elimination.

First, let's add the two equations together:

(x + y) + (x - y) = 12 + (-2)

Simplifying, we get:

2x = 10

Dividing both sides by 2, we find:

x = 5

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

5 + y = 12

Subtracting 5 from both sides, we find:

y = 7

So the solution to the system of equations is (5, 7).

To solve the given system of equations, we can use the method of elimination. This involves adding or subtracting the equations in order to eliminate one variable and solve for the other.

Let's start by adding the two equations together:

(x + y) + (x - y) = 12 + (-2)

By simplifying the equation, we get:

2x = 10

Now, we can isolate x by dividing both sides of the equation by 2:

2x/2 = 10/2

This gives us:

x = 5

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

5 + y = 12

By subtracting 5 from both sides of the equation, we get:

y = 7

Therefore, the solution to the system of equations is (5, 7).