12+5k=15-4k

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

`12 + 5k = 15 - 4k`

Add 4k to each side.

`12 + 9k = 15`

Subtract 12 from each side.

`9k = 3`

Divide both sides by 9.

`k = 3/9 = 1/3`

The solution is k = `1/3.`

Check your solution......................

`12 + 5(1/3) = 15 - 4(1/3)`

`12 + 5/3 = 15 - 4/3`

Since 12 = `36/3`  and 15 = `45/3` , we have

`36/3 + 5/3 = 45/3 - 4/3`

`41/3 = 41/3`

The solution works.

valentin68's profile pic

valentin68 | College Teacher | (Level 3) Associate Educator

Posted on

`12+5k =15-4k`

`12+5k+4k =15`

`5k+4k =15-12`

`9k =3`

`k=3/9`

`k=1/3`  or equivalent ` k=0.(3)`

First, one needs to have on the left side of the equality the unknown terms and on the right side the known values. Thus we add `+4k` both to the left and to the right of the equality.

Then to have on the right side only known numbers, we add both to the left and to the right of the equality the number `-12` .

Finlay we divide by `9` both sides and simplify both the numerator and the denominator with `3` .

Answer: From the above equality we obtain `k=1/3`

sid-sarfraz's profile pic

sid-sarfraz | Student, Graduate | (Level 2) Salutatorian

Posted on

QUESTION:-

12+5k=15-4k

SOLUTION:-

12 + 5k = 15 - 4k

Bring the k values on LHS and the rest values on RHS;

Now as we know when we want to transfer a digit from one side to other side, the digit being transferred will change its sign, like for example if we want to transfer 3 from LHS to RHS, then the sign of 3 will turn to negative from positive;

5k + 4k = 15 -12

9k = 3

k = 3/9

k = 1/3

Hence Solved!

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tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

The equation 12+5k=15-4k has to be solved for the variable k.

12+5k=15-4k

Isolate k to one side and the numerical part to the other.

This involves:

12+5k - 5k - 15= 15-4k - 5k - 15

-3 = -9k

Divide both sides by -9

1/3 = k

The solution of the equation 12+5k=15-4k is k = 1/3.

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

12 + 5k = 15 - 4k

In order to find the unknown variable k, we need to isolate it,

12 + 5k = 15 - 4k

12 + 5k - 12 = 15 - 4k - 12    Subtract 12 from both sides

5k = 3 - 4k

5k + 4k = 3 - 4k + 4k            Add 4k to both sides

9k = 3

9k/9 = 3/9                            Divide both sides by 9

k = 1/3 Answer. 

zumba96's profile pic

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

You are trying to solve for k

12+5k=15-4k

Move all the variables to one side and the numbers to the other

5k+4k=15-12

9k=3

Divide by 9

k=3/9

Simplify 

k=1/3 

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

12 + 5k = 15 - 4k

First subtract 12 on both sides

By subtracting, your equation should look like

5k = 3 - 4k now add 4k on both sides

By adding on both sides, your equation should look like

9k = 3 divide 9 on both sides

By dividing, your equation should look like

k = 3/9 simplify

k = 1/3 which is your answer

acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

12+5k=15-4k

once again lets try and get the k's or unkown variables to one side, add 4 to both sides

12+5k+4k=15

then simplify and subtract 12 from both sides

9k=15-12

9k=3

divide by 9, gives you 3/9, which simplifies to

k=1/3

nisarg's profile pic

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

12+5k=15-4k

12+9k=15        add 4k to both sides

9k=3                subtract 12 from both sides

k=1/3               divide both sides by 9

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`12+5k=15-4k`

combine like terms

`5k + 4k = 15 - 12`

`9k = 3 ` divide both sides by 9

`(9k)/9 = 3/9`

`3/9 `  both share a factor of 3 so you can simplify by dividing by 3

`3/ 9 -: 3/3 = 1/3`

the answer is `k=1/3`

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