Question:
Zach tries to solve an equation step by step;
[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]
Step 1:
[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]
Step 2:
[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]
[tex]\frac{5}{4} = z[/tex]
Find Zach's mistake;
Answer:
Zach didn't make any mistake
Step-by-step explanation:
Given: the steps above
At step 1, he applied addition property of equality by adding [tex]\frac{1}{2}[/tex] to both sides of the equation
Step 2 is a result of step 1 and he rightly added the fractions
Further Explanation;
[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]
[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]
Take LCM of fractions at the left hand side
[tex]\frac{3 + 2}{4} = z[/tex]
[tex]\frac{5}{4} = z[/tex]
Reorder
[tex]z = \frac{5}{4}[/tex]
Analyzing the steps one after the other, we can conclude that Zach didn't make any mistake;
