Question

Solve for k 4.5+1.5k=18−3k

Answer 1

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

Answer 2

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