Question

Equations that are equivalent to -2.7+x=-3.5

Answer 1

The solution to the equation -2.7 + x = -3.5 is x = -0.8. This is solved by adding 2.7 to both sides of the equation. Understanding such algebraic manipulations is key to grasping more advanced mathematical concepts.

Step-by-step explanation:

Equivalent Equations and Algebraic Solutions

The equation presented by the student, −2.7 + x = −3.5, is a simple algebraic equation where we need to solve for the variable x. To solve this equation, we need to isolate x by performing the same operation on both sides of the equation. Here is a step-by-step solution:

1. Add 2.7 to both sides of the equation to cancel out the negative on the left side: x = −3.5 + 2.7.
2. Simplify the right side by adding the numbers together: x = −0.8.

The solution to the equation −2.7 + x = −3.5 is x = −0.8.

This type of problem is fundamental in algebra, and solving these equations is essential for understanding more complex topics such as linear regression and the calculation of a best-fit line, like the least-squares regression line equation ŷ = −173.51 + 4.83x provided in the reference information.