Domanda del libro di testo
In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 5x + 7 = 2x + 7
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Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 2, Problema 75
In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 10x + 3 = 8x + 3
Guida verificata passo dopo passo1
Start by writing down the given equation: \(10x + 3 = 8x + 3\).
To isolate the variable terms on one side, subtract \$8x$ from both sides: \(10x + 3 - 8x = 8x + 3 - 8x\), which simplifies to \(2x + 3 = 3\).
Next, subtract 3 from both sides to isolate the term with \(x\): \(2x + 3 - 3 = 3 - 3\), which simplifies to \(2x = 0\).
Now, solve for \(x\) by dividing both sides by 2: \(\frac{2x}{2} = \frac{0}{2}\), which simplifies to \(x = 0\).
Finally, analyze the solution: since you found a specific value for \(x\), the equation is a conditional equation (true only for \(x = 0\)).
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