College

Select the two correct answers.

Which equations correctly represent the statement shown?

"The value of 81 is 19 more than j."

A. [tex]19 + j = 81[/tex]
B. [tex]81 = j + 19[/tex]
C. [tex]81 \times j = 19[/tex]
D. [tex]19 \times j = 81[/tex]
E. [tex]81 = j - 19[/tex]
F. [tex]81 \div j = 19[/tex]

Answer :

The correct equations that represent the statement "The value of 81 is 19 more than j" are:

1. [tex]\(19 + j = 81\)[/tex]

2. [tex]\(81 = j + 19\)[/tex]

The statement "The value of 81 is 19 more than j" indicates that if you add 19 to the value of j , you will get 81.

This can be represented by the equation ( 19 + j = 81 ), where ( j ) represents the unknown value.

Similarly, the equation 81 = j + 19 also represents the same relationship. It states that if you add 19 to j , you will get 81.

On the other hand, the equations [tex]\( 81 \times j = 19 \)[/tex] and [tex]\( 19 \times j = 81 \)[/tex] do not represent the given statement.

They imply that the product of 81 and j is 19 or the product of 19 and j is 81, which is not what the original statement implies.

The equation [tex]\( 81 = j - 19 \)[/tex] indicates that 81 is 19 less than j, which contradicts the original statement.

Finally, the equation [tex]\( 81 \div j = 19 \)[/tex] implies that if you divide 81 by j, you will get 19, which also does not match the original statement.

Question:

Select the two correct answers.

Which equations correctly represent the statement shown?

The value of 81 is 19 more than j.

19 + j = 81

81 = j + 19

81 × j = 19

19 × j = 81

81 = j - 19

81 ÷ j = 19