How do you solve 8-3/8k=-4838k=4?

2 Answers
Feb 16, 2017

k=32k=32

Explanation:

8-3/8k=-4838k=4

or

3/8k=8+438k=8+4

or

3/8k=1238k=12

or

k=12times8/3k=12×83

or

k=32k=32

Feb 16, 2017

See the entire solution process below:

Explanation:

Step 1) Subtract color(red)(8)8 from each side of the equation to isolate the kk term while keeping the equation balanced:

-color(red)(8) + 8 - 3/8k = -color(red)(8) - 48+838k=84

0 - 3/8k = -12038k=12

-3/8k = -1238k=12

Step 2) Multiply each side of the equation by -color(red)(8)/color(blue)(3)83 to solve for kk while keeping the equation balanced:

-color(red)(8)/color(blue)(3) xx -3/8k = -color(red)(8)/color(blue)(3) xx -1283×38k=83×12

-cancel(color(red)(8))/cancel(color(blue)(3)) xx -color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(8)))k = -color(red)(8)/color(blue)(3) xx -(3 xx 4)

k = -color(red)(8)/cancel(color(blue)(3)) xx -(color(blue)(cancel(color(black)(3))) xx 4)

k = 32