What value of a would make the expression a(x+3) equivalent to 7x+21 ?(1 point)

2 answers

To make the expression a(x+3) equivalent to 7x+21, we need to find the value of a.

We distribute the "a" to both terms inside the parentheses (x+3).

a(x+3) = ax + 3a

Comparing this expression with 7x + 21, we see that the coefficient of x is "a" and the constant term is 3a.

We are given that the expression 7x + 21 is equivalent to a(x+3), so we can set up the equation:

7x + 21 = ax + 3a

Now we can solve for "a".

Rearranging the terms, we have:

7x - ax = 3a - 21

Factoring out the common factor of "x" and "a" on the left side:

x(7 - a) = 3a - 21

Divide both sides by (7 - a):

x = (3a - 21)/(7 - a)

To find the value of "a", we need more information or a specific value for "x".
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