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Inconsistent or dependent system of equations

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Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.

1. -x - y = 4
x -y = -8

2. 3x - 2y = 23
x +5y = -15

3. 4x + 2y = 4
y = 2 - 2x

4. 4x - 3y = 9
2x + y = 12

5. 5x + 4y = 40
x + 2y = 11

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Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.

1. -x - y = 4
x -y = -8

Add both the equations, we will get
-2y = - 4
Divide by -2, we will get
 y = 2
Substitute value of y in the equation x -y = -8, we will get

x - 2 = -8
=> x = -8 + 2 = -6

The solution is x = -6, y = 2

2. 3x - 2y ...

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