Zachary asked in Science & MathematicsMathematics · 2 months ago

# math problem?

1/4x+5=1/5x+16

can you explain how to solve this please?

Update:

and btw garry i asked "can you explain how to solve" not "solve this" i am trying to learn

Relevance
• 2 months ago

Here a few hints... You need to try to solve it your self or you won't understand it... hopefully others will not  just work it out for you...

Since  x ≠ 0,  4x ≠ 0,  and  5x ≠ 0  also

multiply the entire  equation by   20x  to get rid of  all fractions....

e.g  ( 1 / 4x +  5 ) * 20x  = 5  + 100x   for  a start  ... you do the other side....

then  collect like terms to one side, constants to the other,  and  solve for  x

• 1 month ago

1/4x - 1/5x=16-5

=> 1/20x=11

=> 220x=1

=> x=1/220

Hopefully ok.

• garry
Lv 5
1 month ago

• 1 month ago

1/4x=1/5x+11

x/20=11

x=11*20

x=220

• 2 months ago

1/4x + 5 = 1/5x + 16

1/20x = 11

x = 220

• Dixon
Lv 7
2 months ago

put X = 1/x then it becomes

X/4 + 5 = X/5 + 16

5X + 100 = 4X + 320

X = 220

x = 1/220

• Bill-M
Lv 7
2 months ago

(1/4)X + 5 = (1/5)X + 16

Step 1.  Multiply both sides by 20 to remove fractions.

5X + 100 = 4X + 320

Step 2. Subtract 100 from both sides

5X = 4X + 220

Step 3 Subtract 4X from both sides

X = 220

• 2 months ago

thank you

• 2 months ago

As written, I'm presuming that is:

(1/4)x + 5 = (1/5)x + 16

To solve this, I'll first multiply both sides by the LCD (20) to get rid of the fractions:

5x + 100 = 4x + 320

Now, this is something you should be able to finish on your own if you have questions like this.

If the x's are in the denominators, or even more important, the + constants in the denominator, you need to show that in a set of parenthesis so we know what exactly the question is.

• 2 months ago

is that (1/4)x or 1/(4x) ??

is that (1/5)x or 1/(5x) ??