Question

Solve the equation. $-8=\frac{3}{5} a-5$

   Solve the equation.

$-8=\frac{3}{5} a-5$

Algebra 1

Ron Larson, Laurie… 1st Edition

Chapter 6, Problem 76

Instant Answer

Solved by Expert Amy Jiang

08/30/2020

Step 1

This gives us: \[ -8 + 5 = \frac{3}{5}a - 5 + 5 \] which simplifies to \[ -3 = \frac{3}{5}a \] Show more…

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Solve the equation. $-8=\frac{3}{5} a-5$

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Key Concepts

Fraction Operations

Fraction operations are essential in algebra when dealing with coefficients or terms expressed as fractions. This includes understanding how to clear fractions from an equation by multiplying both sides of the equation by the denominator, thereby simplifying the equation and making it easier to solve for the unknown variable.

Linear Equations

Linear equations are algebraic equations in which each term is either a constant or the product of a constant and a single variable. They involve operations such as addition, subtraction, multiplication, and division, and typically have only one solution for the unknown variable. Solving linear equations requires understanding how to manipulate the equation to isolate the variable on one side of the equation.

Isolating Variables

Isolating the variable is a key step in solving equations where you perform inverse operations to move all instances of the variable to one side and constants to the opposite side. This involves adding, subtracting, multiplying, or dividing both sides of the equation by the same amount, ensuring that the equality holds throughout the process.

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