Solve each sys tem u sing Eliminat 1) x-y+z=3 2x+y+z=8 3x+y-z=1

Question

Answer 1

To solve the system of equations using the elimination method, we aim to eliminate one variable at a time. Let's work through the given system:

**Step 1: Eliminate

from Equations (1) and (2).**Add Equation (1) and Equation (2):

This simplifies to:

**Step 2: Eliminate

from Equations (1) and (3).**Add Equation (1) and Equation (3):

This simplifies to:

**Step 3: Substitute

into Equation (4).**Substitute

into Equation (4):

This simplifies to:

**Step 4: Substitute

and

back into Equation (1) to find

.**Substitute

and

into Equation (1):

This simplifies to:

Thus, the solution to the system is:

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