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

Answer 1

To make the expression A(x + 3) equivalent to 7x + 21, we need to find the value of A that satisfies this equation.

First, we can distribute the A to both terms in the parentheses:

A(x + 3) = Ax + 3A

Now we can set this expression equal to 7x + 21 and solve for A:

Ax + 3A = 7x + 21

Next, we can simplify the equation by combining like terms:

Ax - 7x = 21 - 3A

Simplifying further:

(A - 7)x = 21 - 3A

Now we want the expression to be true for all values of x, meaning the coefficients of x on both sides of the equation must be equal. Therefore:

A - 7 = 0

Solving for A:

A = 7

So, the value of A that would make the expression A(x + 3) equivalent to 7x + 21 is A = 7.