Simultaneous Equations Substitution Flashcards

GCSE Mathematics (Edexcel) 1MA1

Simultaneous equations

A set of two or more equations with two or more variables that are solved together to find a common solution.

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Simultaneous equations

A set of two or more equations with two or more variables that are solved together to find a common solution.

Substitution method

A method to solve simultaneous equations by substituting one equation into the other to eliminate one variable.

Step 1 of substitution

Rearrange one equation to make one variable the subject.

Step 2 of substitution

Substitute the expression for the subject variable into the other equation.

Step 3 of substitution

Solve the resulting equation to find the value of one variable.

Step 4 of substitution

Substitute the value of the solved variable back into one of the original equations to find the other variable.

Checking the solution

Substitute both values into the original equations to ensure they satisfy both equations.

Example of substitution: Step 1

If y = 2x + 3 and x + y = 7, rearrange y = 2x + 3 to substitute into the second equation.

Example of substitution: Step 2

Substitute y = 2x + 3 into x + y = 7 to get x + (2x + 3) = 7.

Example of substitution: Step 3

Solve x + 2x + 3 = 7 to find x = 1, then substitute x = 1 into y = 2x + 3 to find y = 5.

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