Question

PLEASE HELP!!! Solve for z.

z − 4/9 − 1/3 = 5/9
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Answer 1

z = 4/3

Explanation:

Simplify both sides of the equation:

z−49−13=59

z+−49+−13=59

(z)+(−49+−13)=59 *Combine Like Terms*

z+−79=59

z+−79=59

Step 2: Add 7/9 to both sides.

z+−79+79=59+79

z=4/3

Answer 2

z= 4/3

Explanation:

To solve z - 4/9 - 1/3 = 5/9 first we observe that two of the fractions have 9 as a denominator and one has 3 as a denominator. So we can transform 1/3 into a fraction with denominator equal to 9.

We do this by multiplying both numerator and denominator by 3 and we get.

`(1)/(3) =(3)/(9)`

Now our expression is z - 4/9 - 3/9 = 5/9

To solve for z we need to take all the terms but the z to the right side with the opposite sign and sum up those terms.

`z-(4)/(9)-(3)/(9)=(5)/(9)  \\ z= (5)/(9)+(4)/(9)+(3)/(9)\\   z=(12)/(9) \\z=(4)/(3)`

Thus, z = 4/3