Math Problem Statement
Solve the following algebra equations:
1. -8/x = -2/(x+1)
2. (18/4)x = 81/(2x)
3. 5(x + 7) - 3(x - 2) = 0
4. (x - 6) = sqrt(25/9)
5. -2(x - 4) - 5.1 = 9(x + 3.5)
Solution
Let's go through the solutions for each of these algebra problems step-by-step.
1. Solve:
First, cross-multiply to eliminate the fractions:
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Math Problem Analysis
Mathematical Concepts
Algebra
Equations
Linear equations
Rational equations
Square roots
Formulas
Cross-multiplication
Distributive property
Square root
Theorems
Equality of fractions
Basic algebraic operations
Suitable Grade Level
Grades 9-11
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