High School

We appreciate your visit to Which of the following equations have infinitely many solutions Choose all answers that apply A 75 times 57 75 times 57 B 75 times 57. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Which of the following equations have infinitely many solutions? Choose all answers that apply.

A. \(-75 \times 57 = -75 \times 57\)
B. \(75 \times 57 = -75 \times 57\)
C. \(-57 \times 57 = -75 \times 75\)
D. \(57 \times 57 = -75 \times -75\)

Answer :

Final answer:

The equations that have infinitely many solutions are options a) -75 × 57 = -75 × 57 and d) 57 × 57 = -75 × -75, because the expressions on both sides of these equations are identical, hence they hold true for all values.

Explanation:

In the field of Mathematics, an equation has infinitely many solutions if the left side of the equation is identical to the right side of the equation. This means that they are identical expressions and thus hold true for all values of the variable involved.

From the given options, options a) -75 × 57 = -75 × 57 and d) 57 × 57 = -75 × -75 have infinitely many solutions. This is because in both equations, the expressions on both sides of the equality sign are identical. Therefore, they hold true for all values, which means they have infinitely many solutions.

If for instance, you were to replace any variable in option a) with any number, it will hold true because -75 times 57 is always equal to -75 times 57, and similarly for option d).

Learn more about Infinitely Many Solutions here:

https://brainly.com/question/35171960

#SPJ11

Thanks for taking the time to read Which of the following equations have infinitely many solutions Choose all answers that apply A 75 times 57 75 times 57 B 75 times 57. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada