AQA · Mathematics · 8300
GCSE Maths: Simultaneous equations (substitution, both linear)
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Simultaneous equations (substitution, both linear) (Corbettmaths Video 296), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What is the general strategy for solving simultaneous equations when both equations are linear?
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Use methods such as substitution or elimination to find values for both variables that satisfy both equations.
In a word problem about buying items at different prices, what do the two simultaneous equations typically represent?
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Each equation represents the total cost for a different purchase combination of the same items.
When solving simultaneous equations where both are already in standard form with matching coefficients, which method is typically most efficient?
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The elimination method (adding or subtracting equations).
What is the first step when solving simultaneous equations where one equation is y = (expression in x)?
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Substitute the expression for y into the other equation to create an equation with only x.
Why might you need to multiply one or both equations before using elimination?
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To make the coefficients of one variable the same (or opposite) so that variable can be eliminated when adding or subtracting.
What does it mean geometrically when you solve two simultaneous linear equations?
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You are finding the coordinates of the point where the two lines intersect.
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