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Substitution method: from first equation y = 5x - 8. In the second equation this gives

25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the

system has no solution.

Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.

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Q: Describe the solution to the system of equations 5x - y equals 8 and 25x-5y equals 32?
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