Question

39. If (0.4z - 3) = -7/5. Find the value of z
(1.5z +9)​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(4/10)*z-3/(15/10)*z+9-(-7/9)=0

Step by step solution :

STEP

1

:

7

Simplify —

9

Equation at the end of step

1

:

4 15 7

(((——•z)-(——•z))+9)-(0-—) = 0

10 10 9

STEP

2

:

3

Simplify —

2

Equation at the end of step

2

:

4 3 -7

(((——•z)-(—•z))+9)-—— = 0

10 2 9

STEP

3

:

3

Divide 3 by —

2

Equation at the end of step

3

:

4 -7

(((——•z)-(2•z))+9)-—— = 0

10 9

STEP

4

:

2

Simplify —

5

Equation at the end of step

4

:

2 -7

(((— • z) - 2z) + 9) - —— = 0

5 9

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

2z 2z • 5

2z = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2z - (2z • 5) -8z

————————————— = ———

5 5

Equation at the end of step

5

:

-8z -7

(——— + 9) - —— = 0

5 9

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 5 as the denominator :

9 9 • 5

9 = — = —————

1 5