Solve 3 by 3 Systems of Equations Using Cramer's Rule
Solve a 3x3 system of linear equations using Cramer's Rule. Generate random systems, see detailed step-by-step solutions with determinants, and verify the results.
📐 3x3 System Solver - Cramer's Rule
Solve \( a_1x + b_1y + c_1z = d_1 \), etc.
\( 2x - y + z = 3 \)
\( x + y + z = 2 \)
\( -x + 2y + z = 1 \)
Solve the system using Cramer's Rule. Click "Show me" for each step.
📖 Step-by-Step Solution
STEP 1: Define the determinant D of the coefficient matrix
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STEP 2: Define the determinants Dx, Dy, Dz
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STEP 3: Evaluate all four determinants
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STEP 4: Determine the solution using Cramer's Rule