what is the solution of the equation 4/3=-6/5 HELP

3 answers

The equation \( \frac{4}{3} = -\frac{6}{5} \) is not a true statement, as the two fractions are not equal.

If you're looking to solve an equation instead, or if you meant to set the two fractions equal to something else (like a variable), please clarify. Here’s a breakdown of the two fractions to prove they are not equal:

  1. Convert both fractions to their decimal forms:
    • \( \frac{4}{3} \approx 1.3333 \)
    • \( -\frac{6}{5} = -1.2 \)

Since \( 1.3333 \) is not equal to \( -1.2 \), the equation does not hold.

If you have a different equation or context in mind, feel free to provide more details!

what is the solution of the equation 4/3x=-6/5

To solve the equation

\[ \frac{4}{3}x = -\frac{6}{5} \]

you can follow these steps:

  1. Isolate \( x \) by multiplying both sides by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \):

\[ x = -\frac{6}{5} \cdot \frac{3}{4} \]

  1. Multiply the fractions:

\[ x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20} \]

  1. Simplify the fraction:

\[ -\frac{18}{20} = -\frac{9}{10} \]

Thus, the solution is

\[ x = -\frac{9}{10}. \]