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olasank [31]
2 years ago
8

Solve for k 4.5+1.5k=18−3k

Mathematics
2 answers:
sertanlavr [38]2 years ago
5 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}

Step-by-step explanation:

\sf{4.5 + 1.5k = 18 - 3k}

Move 3k to left hand side and change it's sign

Similarly, move 4.5 to right hand side and change it's sign

\longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}

Collect like terms

\longrightarrow{ \sf{4.5k = 18 -  4.5}}

Subtract 4.5 from 18

\longrightarrow{ \sf{4.5k = 13.5}}

Divide both sides by 4.5

\longrightarrow{ \sf{ \frac{4.5k}{4.5}  =  \frac{13.5}{4.5} }}

Calculate

\longrightarrow{ \sf{k = 3}}

Hope I helped!

Best regards! :D

romanna [79]2 years ago
4 0

Answer:

k = 3

Step-by-step explanation:

Subtract 4.5 from both sides:

4.5 + 1.5k = 18 - 3k

-4.5            -4.5

1.5k = 13.5 -3k

Subtract -3k from both sides:

1.5k = 13.5 - 3k

+3k             +3k

4.5k = 13.5

Now simplify:

4.5k = 13.5

k = 3

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