Question

Which of the following equations are equivalent? Check all that apply.

1). 2+x=5
2). x+1=4
3). 9+x=6
4). x+(-4)=7
5). -5+x=-2

Answer 1

A, B, E on Edgen. Just took the test.

Explanation:

2 + x= 5(A)

x + 1 = 4(B)

-5 + x = -2(E)

Answer 2

Answer: 1), 2) and 5) are equivalent.

Explanation:

Since in first expression, 2+x=5 ⇒ x= 5-2= 3⇒x=3

In second expression, x+1=4⇒ x=4-1⇒x=3

In third expression, 9+x=6 ⇒ x=6-9⇒x= -3

in Fourth expression, x+(-4)=7 ⇒ x=7+4 ⇒ x=11

In fifth expression, -5+x=-2⇒ x=-2+5 ⇒x=3

Thus, 1) 2) and 5) expression are giving the same result.

Therefore they are equivalent to each other.