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AMC / AIME · Systems of Equations · AIME / USAJMO / AMO

Systems of Equations: (Proof track.) Give a complete justification. Find math if math and math.

Linear and nonlinear systems.

Try the problem

**(Proof track.)** Give a complete justification. Find

x+y

if

x-y=2

and

x^2+y^2=34

.

Hint and answer

Concept to use

Contest systems.

Hint

Look for a symmetric identity before solving more variables than necessary.

Answer

8

More Systems of Equations problems

(Proof track.) Give a complete justification. A two-digit number plus its reversal is math; its digits differ
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Practice more with the free Systems of Equations worksheet generator, or browse the full problem library.