Question

Solve and check each equation. $$\frac{2}{3} g=-10$$

   Solve and check each equation. $$\frac{2}{3} g=-10$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 33

Instant Answer

Solved by Expert Raushan Kumar

09/16/2020

Step 1

We can do this by multiplying both sides of the equation by the reciprocal of $\frac{2}{3}$, which is $\frac{3}{2}$. So, we have: $$\frac{2}{3} g \times \frac{3}{2} = -10 \times \frac{3}{2}$$ Show more…

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Solve and check each equation. $$\frac{2}{3} g=-10$$

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Key Concepts

Linear Equations

A linear equation is an equation in which the highest power of the variable is one. Solving a linear equation involves isolating the variable on one side of the equation and determining its value that makes the equation true.

Multiplicative Inverse

The multiplicative inverse, or reciprocal, of a nonzero number is a number that when multiplied by the original number yields one. This concept is used to eliminate fractional coefficients by multiplying both sides of the equation by the reciprocal.

Verification by Substitution

Verification by substitution involves inserting the solution back into the original equation to check if it produces a true statement. This step ensures that the calculated solution is correct and satisfies the equation.

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