Algebra-2

To solve the system of equations given:

1.( x + 2y - z = 7 )   (Equation 1)

2.( 3x - 4y + 2z = -4 )   (Equation 2)

3.( 2x + y + z = -1 )   (Equation 3)

we will follow your instructions step by step to eliminate ( z ).

 

Step 1: Add Equation 1 and Equation 3 to Eliminate ( z )

Adding Equation 1 and Equation 3:

(x + 2y - z) + (2x + y + z) = 7 + (-1)

x + 2y - z + 2x + y + z = 6

3x + 3y = 6

x + y = 2 {Equation 4}

 

Step 2: Multiply Equation 1 by 2 and Add Equation 2 to Eliminate ( z )

Multiplying Equation 1 by 2:

2(x + 2y - z) =

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