Solve the given linear equation using addition and subtraction properties of equality.
Table of contents
- 1. Review of Real Numbers2h 43m
- 2. Linear Equations and Inequalities5h 35m
- 3. Solving Word Problems2h 46m
- 4. Graphs and Functions5h 12m
- The Rectangular Coordinate System44m
- Graph Linear Equations in Two Variables24m
- Graph Linear Equations Using Intercepts23m
- Slope of a Line44m
- Slope-Intercept Form38m
- Point Slope Form22m
- Linear Inequalities in Two Variables28m
- Introduction to Relations and Functions53m
- Function Notation15m
- Composition of Functions17m
- 5. Systems of Linear Equations1h 53m
- 6. Exponents, Polynomials, and Polynomial Functions3h 17m
- 7. Factoring2h 49m
- 8. Rational Expressions and Functions3h 44m
- Simplifying Rational Expressions42m
- Multiplying and Dividing Rational Expressions25m
- Adding and Subtracting Rational Expressions with Common Denominators19m
- Least Common Denominators32m
- Adding and Subtracting Rational Expressions with Different Denominators32m
- Rational Equations44m
- Direct & Inverse Variation27m
- 9. Roots, Radicals, and Complex Numbers2h 33m
- 10. Quadratic Equations and Functions3h 1m
- 11. Inverse, Exponential, & Logarithmic Functions1h 5m
- 12. Conic Sections & Systems of Nonlinear Equations58m
- 13. Sequences, Series, and the Binomial Theorem1h 51m
2. Linear Equations and Inequalities
Solving Linear Equations
Multiple Choice
Solve the given linear equation using multiplication and division properties of equality.
A
y=14
B
y=−14
C
y=7
D
y=−7
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Verified step by step guidance1
Start with the given equation: \(\frac{y}{4} = -\frac{21}{6}\).
Simplify the fraction on the right side if possible. Since \(\frac{21}{6}\) can be reduced, divide numerator and denominator by their greatest common divisor.
Use the multiplication property of equality to isolate \(y\) by multiplying both sides of the equation by 4, which is the denominator of the left side.
After multiplying, write the equation as \(y = 4 \times\) (the simplified fraction on the right side).
Perform the multiplication on the right side to express \(y\) as a single number (do not calculate the final value here, just set up the expression).
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