Simultaneous equations

There are 55 NRICH Mathematical resources connected to Simultaneous equations
Building Tetrahedra
problem

Building Tetrahedra

Age
14 to 16
Challenge level
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Can you make a tetrahedron whose faces all have the same perimeter?
Overturning fracsum
problem

Overturning fracsum

Age
16 to 18
Challenge level
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Can you solve the system of equations to find the values of x, y and z?
Real(ly) numbers
problem

Real(ly) numbers

Age
16 to 18
Challenge level
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If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3. What is the largest value that any of the numbers can have?
The Simple Life
problem

The Simple Life

Age
11 to 14
Challenge level
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The answer is $5x+8y$... What was the question?