Answer:
The value of z is 1.
Step-by-step explanation:
Given:
[tex]21(z+50) = 1071[/tex]
We need to solve the problem using distributive property.
Solution:
For the given equation we will apply distributive property;
By Definition of Distributive property which states that;
"The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."
example = [tex]a(b+c) = a\times b +a\times c =ab +ac[/tex]
So we get;
[tex]21\times z + 21\times 50 = 1071\\\\21z + 1050 =1071[/tex]
Now by using Subtraction property we will subtract both side by 1050 we get;
[tex]21z+1050-1050=1071-1050\\\\21z=21[/tex]
Now Dividing both side by 21 by using Division property we get;
[tex]\frac{21z}{21}=\frac{21}{21}\\\\z=1[/tex]
Hence The value of z is 1.
