Question

Are two equations equivalent calculator: Two equations are equivalent if ___________.

A. They have the same variables
B. They have the same coefficients
C. They represent the same line
D. One equation is a multiple of the other

Answer 1

Two equations are equivalent if one equation is a multiple of the other.

Step-by-step explanation:

In order for two equations to be equivalent, one equation must be a multiple of the other. This means that if you multiply or divide one equation by a scalar (a number), the result will be the other equation.

For example, let's say we have the equations:

Equation 1: y = 2x
Equation 2: 2y = 4x

In this case, Equation 2 is a multiple of Equation 1 because it is obtained by multiplying Equation 1 by 2 on both sides. Therefore, Equations 1 and 2 are equivalent.