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mojhsa [17]
3 years ago
8

8(1 - 3k) + 1 = -25 - 7k A) {3} B) {-11} C) {1} D) {2} Show your work

Mathematics
2 answers:
damaskus [11]3 years ago
6 0

Answer:

Step-by-step explanation:

8 - 24k + 1 = -25 - 7k

-24k + 9 = -25 -7k

-17k + 9 = -25

-17k = -34

k = 2

answer is D

trasher [3.6K]3 years ago
6 0

Answer:

\boxed{  \bold{  \huge{ \boxed{ \sf{k = 2}}}}}

Option D is the correct option.

Step-by-step explanation:

\sf{8(1 - 3k) + 1 =  - 25 - 7k}

Distribute 8 through the parentheses

\longrightarrow{ \sf{8 - 24k + 1 =  - 25 - 7k}}

Add the numbers : 8 and 1

\longrightarrow{ \sf{9 - 24k =  - 25 - 7k}}

Move 7k to left hand side and change it's sign

Similarly, move 9 to right hand side and change it's sign

\longrightarrow{ \sf{ - 24k + 7k =  - 25  - 9}}

Collect like terms

\longrightarrow{ \sf{ - 17k =  - 25 - 9}}

Calculate

\longrightarrow{ \sf{ - 17k =  - 34}}

Divide both sides by -17

\longrightarrow{ \sf{ \frac{ - 17k}{ - 17}  =  \frac{ - 34}{ - 17} }}

Calculate

\longrightarrow{ \sf{k = 2}}

Hope I helped!

Best regards! :D

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