Mathematics - Algebra - Systems of Equations - Solving systems by substitution - Substitution Method

6 steps: (1) System: y=2x-1 and 3x+2y=16. (2) Variable y is already isolated in equation 1. (3) SUBSTITUTE: replace y in equation 2 with (2x-1): 3x+2(2x-1)=16. (4) Solve: 3x+4x-2=16 → 7x=18 → x=18/7. (5) Back-substitute: y=2(18/7)-1=36/7-7/7=29/7. (6) Solution: (18/7, 29/7). Check in BOTH equations.

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Mathematics - Algebra - Systems of Equations - Solving systems by substitution - Substitution Method
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Mathematics - Algebra - Systems of Equations - Solving systems by substitution - Substitution Method

vivmagarwal
vivmagarwalJan 29, 2026

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6 steps: (1) System: y=2x-1 and 3x+2y=16. (2) Variable y is already isolated in equation 1. (3) SUBSTITUTE: replace y in equation 2 with (2x-1): 3x+2(2x-1)=16. (4) Solve: 3x+4x-2=16 → 7x=18 → x=18/7. (5) Back-substitute: y=2(18/7)-1=36/7-7/7=29/7. (6) Solution: (18/7, 29/7). Check in BOTH equations.

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MathematicsAlgebra - Systems of EquationsStage 9, Grade 8, Class 10, MYP Grade 9, Class 10

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