Question

which expression is equivalent t0 14x + 35 - 21y

Answer 1

To simplify the expression \(14x + 35 - 21y\), we can factor it:

1. Notice that the first two terms, \(14x\) and \(35\), have a common factor of \(7\).
2. We can factor \(7\) out of those two terms:

\[
14x + 35 = 7(2x + 5)
\]

3. The expression then becomes:

\[
7(2x + 5) - 21y
\]

4. Recognize that \(21y\) can be rewritten as \(7(3y)\):

\[
7(2x + 5) - 7(3y) = 7(2x + 5 - 3y)
\]

So, the equivalent expression is:

\[
7(2x + 5 - 3y)
\]

This shows the expression \(14x + 35 - 21y\) is equivalent to \(7(2x + 5 - 3y)\).