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Simultaneous Equations: Equal Values and Substitution Method

Algebra and Graphs Simultaneous Equations: Equal Values and Substitution Method

🎬 Video Tutorial

(0:13) Equal Values Method: Isolate the same variable in both equations, set the expressions equal, and solve for the remaining variable. This method reduces a system to a single-variable equation.
(0:22) Example of Equal Values: For equations $y = x – 1$ and $y = 2x + 3$, set $x – 1 = 2x + 3$, solve for $x$, then substitute back to find $y$.
(1:25) Substitution Method: Solve one equation for a variable, then substitute this expression into the other equation to simplify.
(1:37) Example of Substitution: If $y = x – 1$ and $2x + y = 8$, substitute $y = x – 1$ into the second equation to get $2x + (x – 1) = 8$, then solve for $x$ and substitute back to find $y$.

📂 Revision Cards

Equal Values Method steps to solve equations by isolating the same variable, with example 2x + y = 8 and x - y = 1, resulting in x = 3 and y = 2. — 1) Equal Value Methods

Steps to solve a system of equations using the substitution method, expressing one variable in terms of another and verifying the solution. — 2) Substitution Method

Methods for solving linear systems using Equal Values and Substitution methods, showing steps to isolate variables and solve equations. — 3) Equal Values vs Substitution Method

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