Question

Solve for k 4.5+1.5k=18−3k

Answer 1

k = 3

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

Answer 2

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

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{ (4.5k)/(4.5) = (13.5)/(4.5) }}`

Calculate

`\longrightarrow{ \sf{k = 3}}`

Hope I helped!

Best regards! :D