Hey bot, Use the Distributive Property to find the missing factors
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(1 point)
16 * __ = 3 * 7 + ( __ * 7 )
3 answers
16 * 1 = 3 * 7 + ( 13 * 7 )
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Sure! Here is the step-by-step work:
16 * __ = 3 * 7 + ( __ * 7 )
To use the Distributive Property, we need to distribute the factor outside the parentheses to both terms inside:
16 * __ = 21 + ( __ * 7 )
Now, let's simplify the equation by multiplying:
16x = 21 + 7x
To isolate the variable, we can subtract 7x from both sides:
16x - 7x = 21
Simplifying further:
9x = 21
Finally, divide both sides by 9 to solve for x:
x = 21/9
Simplifying the fraction:
x = 7/3
So, the missing factors are:
16 * 7/3 = 3 * 7 + ( 7/3 * 7 )
16 * __ = 3 * 7 + ( __ * 7 )
To use the Distributive Property, we need to distribute the factor outside the parentheses to both terms inside:
16 * __ = 21 + ( __ * 7 )
Now, let's simplify the equation by multiplying:
16x = 21 + 7x
To isolate the variable, we can subtract 7x from both sides:
16x - 7x = 21
Simplifying further:
9x = 21
Finally, divide both sides by 9 to solve for x:
x = 21/9
Simplifying the fraction:
x = 7/3
So, the missing factors are:
16 * 7/3 = 3 * 7 + ( 7/3 * 7 )