Simultaneous Equations (AQA A-Level Mathematics): Quizzes

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Linear Simultaneous Equations - Elimination
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What are simultaneous equations?

A system with a fixed set of solutions

What is the main goal of the elimination method?

Eliminate one variable

To eliminate xx from 2x+3y=102x + 3y = 10 and 5x4y=75x - 4y = 7, what do you multiply the first equation by?

5

In 4x+2y=144x + 2y = 14 and 3x2y=43x - 2y = 4, should you add or subtract to eliminate yy?

Add

After eliminating xx from 10x+15y=5010x + 15y = 50 and 10x8y=1410x - 8y = 14, what equation results?

23y=3623y = 36

From 7x=187x = 18, what is the value of xx?

187\frac{18}{7}

After finding xx, what is the next step in the elimination method?

Substitute xx into an original equation

What form must equations be in for calculator's simultaneous equation mode?

ax+by=kax + by = k

What calculator mode solves simultaneous equations?

Simultaneous Equation mode

For 2x+y=72x + y = 7 and 3x2y=43x - 2y = 4, what is the value of yy?

137\frac{13}{7}

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