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Can you work out how many of each kind of pencil this student bought?

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Solve the system of equations xy = 1 yz = 4 zx = 9

Symmetricality

Stage: 3 Challenge Level: Challenge Level:1

Add up all 5 equations given below. What do you notice?

Solve the system and find the values of a, b, c , d and e.

b + c + d + e = 4
a + c + d + e = 5
a + b + d + e = 1
a + b + c + e = 2
a + b + c + d = 0