To convert the equation y - 4 = 20 into a solution, what should be added to both sides?

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Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

To convert the equation y - 4 = 20 into a solution, what should be added to both sides?

Explanation:
To solve the equation \( y - 4 = 20 \) for \( y \), you want to isolate the variable on one side of the equation. The term \( -4 \) is currently being subtracted from \( y \). To eliminate this subtraction, you would need to add 4 to both sides of the equation. When you add 4 to both sides, the equation changes as follows: 1. The left side becomes \( y - 4 + 4 \), which simplifies to \( y \). 2. The right side becomes \( 20 + 4 \), which simplifies to \( 24 \). Thus, the equation after modifying becomes \( y = 24 \). This process effectively allows you to isolate \( y \) so that you can find its value easily. Therefore, adding 4 to both sides is the correct action to take to simplify the equation and find the solution for \( y \).

To solve the equation ( y - 4 = 20 ) for ( y ), you want to isolate the variable on one side of the equation. The term ( -4 ) is currently being subtracted from ( y ). To eliminate this subtraction, you would need to add 4 to both sides of the equation.

When you add 4 to both sides, the equation changes as follows:

  1. The left side becomes ( y - 4 + 4 ), which simplifies to ( y ).

  2. The right side becomes ( 20 + 4 ), which simplifies to ( 24 ).

Thus, the equation after modifying becomes ( y = 24 ). This process effectively allows you to isolate ( y ) so that you can find its value easily. Therefore, adding 4 to both sides is the correct action to take to simplify the equation and find the solution for ( y ).

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