Math Problem Statement
Solve the following algebraic equations:
1. 2x + 8 = 20
2. (3/2)x + 5 = 14
3. (x - 9)/(-4) = 7
Solution
I see the image contains three algebraic equations. Let me list and solve each one for you:
Equation 1:
Steps to solve:
- Subtract 8 from both sides:
- Divide by 2:
Equation 2:
Steps to solve:
- Subtract 5 from both sides:
- Multiply both sides by the reciprocal of (which is ):
Equation 3:
Steps to solve:
- Multiply both sides by to eliminate the denominator:
- Add 9 to both sides:
Summary of Solutions:
Would you like more details or further clarification?
Here are 5 related questions:
- How do you solve equations with fractions?
- What is the method to solve equations with variables on both sides?
- How do you deal with negative coefficients in equations?
- How does multiplying both sides of an equation affect the solution?
- Can we apply the same approach for solving systems of equations?
Tip: Always check your solution by substituting the value of back into the original equation to verify correctness.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Fractions in Equations
Formulas
Basic linear equation form: ax + b = c
Solving for x with fractional coefficients
Theorems
Multiplication Property of Equality
Addition Property of Equality
Suitable Grade Level
Grades 7-9