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Simplifying sqrt(7x + y) + sqrt(x + y) = 6 (7x * qrst + y * qrst) + sqrt(x + y) = 6 (7qrstx + qrsty) + sqrt(x + y) = 6 7qrstx + qrsty + (x * qrst + y * qrst) = 6 7qrstx + qrsty + (qrstx + qrsty) = 6 Reorder the terms: 7qrstx + qrstx + qrsty + qrsty = 6 Combine like terms: 7qrstx + qrstx = 8qrstx 8qrstx + qrsty + qrsty = 6 Combine like terms: qrsty + qrsty = 2qrsty 8qrstx + 2qrsty = 6 Solving 8qrstx + 2qrsty = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -6 + 8qrstx + 2qrsty = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 8qrstx + 2qrsty = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 4qrstx + qrsty) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 4qrstx + qrsty)' equal to zero and attempt to solve: Simplifying -3 + 4qrstx + qrsty = 0 Solving -3 + 4qrstx + qrsty = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4qrstx + 3 + qrsty = 0 + 3 Reorder the terms: -3 + 3 + 4qrstx + qrsty = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4qrstx + qrsty = 0 + 3 4qrstx + qrsty = 0 + 3 Combine like terms: 0 + 3 = 3 4qrstx + qrsty = 3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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