how would you calculate the listed algebra 1 problems

Question

 

z x 8= z    and 3/4 + y= .75 + y

Answer 1

1)

 

 

8z = z

 

 

Subtract z on both sides of equation.

 

8z - z = 0

 

 

Factor out the z.

 

z(8 - 1) = 0

 

7z = 0

 

 

What number multiplied any value gives us zero.  That number is zero.

 

z = 0

 

 

2)

 

 

(3/4) + y = 0.75 + y

 

3/4 is the same as 0.75. 

 

 

0.75 + y = 0.75 + y

 

 

The expressions on both sides of the equal sign are the same.

 

This equation has an infinite number of solutions.