What value of a would make the expression a(x+3) equivalent to 7x+21

Answer 1

To make the expression equivalent, we set the given expressions equal to each other:

a(x+3) = 7x + 21

Distribute a on the left side:
ax + 3a = 7x + 21

Now, we can set the x terms equal to each other:
ax = 7x

Now we can solve for a:
a = 7

Therefore, when a is equal to 7, the expression a(x+3) is equivalent to 7x+21.