Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What is the solution to the equation 7.5zāˆ’3=10.5 ?

Sagot :

suspho

Answer:

z = 1.8

Step-by-step explanation:

What is the solution to the equation 7.5zāˆ’3=10.5?

7.5z - 3 = 10.5

7.5z = 13.5

z = 13.5 : 7.5

z = 1.8

------------------

check

7.5 * 1.8 - 3 = 10.5

13.5 - 3 = 10.5

10.5 = 10.5

the answer is good

Combine multiplied terms into a single fraction

[tex]7.5z - 3 = 10.5[/tex]

[tex]\frac{15z}{2} - 3 = 10.5[/tex]

Find common denominator

[tex]\frac{15z}{2} - 3 = 10.5[/tex]

[tex] \frac{15z}{2} + \frac{2( - 3)}{2} = 10.5 [/tex]

Combine fractions with common denominator

[tex] \frac{15z}{2} + \frac{2( - 3)}{2} = 10.5 [/tex]

[tex] \frac{5z + 2( - 3)}{2} = 10.5[/tex]

[tex]z = 1.8[/tex]

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.