Question

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answer 1

The required equations that are equivalent to each other are,

(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given equations,

(A) 2 + x = 5

Simplifying the above expression,

x = 5 - 2

x = 3

Similarly, simplify all the equations,

(B) x = 3

(C) x = -3

(D) x = 11

(E) x = 3

Therefore, equations that give x = 3, after simplification is equivalent equations.

Thus, the requried equations that are equivalent to each other are,

(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.