In order to find the value of a that would make the expression a(x+3) equivalent to 7x+21, we need to solve the equation a(x+3) = 7x+21.
To do this, we can distribute the a to x+3:
ax + 3a = 7x + 21
Next, we can move all the terms involving x to one side of the equation and all the terms involving a to the other side:
ax - 7x = 21 - 3a
Combining like terms, we get:
(1a - 7)x = 21 - 3a
We want the expression to be equivalent, so the coefficient of x on both sides of the equation should be the same. Therefore, we can set 1a - 7 equal to 0:
1a - 7 = 0
Adding 7 to both sides, we get:
1a = 7
Thus, the value of a that would make the expression a(x+3) equivalent to 7x+21 is a = 7.
Question
What value of a
would make the expression a(x+3) equivalent to 7x+21
?(1 point)
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1 answer