Arthur writes the equation a = 10b − 7 . He wants to rewrite it in terms of b. In Arthur’s first step, what value should he add to both sides of the equation?

Answer 1

To rewrite the equation \( a = 10b - 7 \) in terms of \( b \), the first step is to eliminate the \(-7\) from the right side.

To do this, we can add \( 7 \) to both sides of the equation.

So, adding \( 7 \) to both sides gives us:

\[ a + 7 = 10b - 7 + 7 \]

This simplifies to:

\[ a + 7 = 10b \]

Thus, the value that Arthur should add to both sides of the equation is \( 7 \).