..Help me with these problems..
x/4=2x+3/15
21/y-8=3
11u/6=u+14
Help me with these problems..
x/4=2x+3/15
21/y-8=3
11u/6=u+14
possilbe answers? 84/5 12/7 15..
what goes where?
x/14+12=3x-8.5
Sure, I can help you with these problems. Let's solve them step by step.
1) x/4 = 2x + 3/15
To solve this equation, we need to isolate the variable (x) on one side.
Multiply both sides of the equation by 60 (common multiple of 4 and 15) to eliminate the fractions:
(60) * (x/4) = (60) * (2x + 3/15)
Simplifying, we get:
15x = 120x + 12
Now, let's move all the x-terms to one side and the constant terms to the other side:
15x - 120x = 12
-105x = 12
Finally, divide both sides of the equation by -105 to solve for x:
x = 12 / -105
Simplifying the fraction, we get:
x = -4/35
So, the solution to the equation is x = -4/35.
2) 21/y - 8 = 3
First, let's isolate the variable (y) by getting rid of the constant term (-8) on the left side.
Add 8 to both sides of the equation:
21/y - 8 + 8 = 3 + 8
Simplifying, we have:
21/y = 11
To get rid of the fraction, multiply both sides of the equation by y:
y * (21/y) = y * 11
Simplifying further, we get:
21 = 11y
Next, divide both sides of the equation by 11 to solve for y:
21/11 = y
Simplifying the fraction, we have:
y = 21/11 = 3/2
Therefore, the solution to the equation is y = 3/2.
3) 11u/6 = u + 14
First, let's eliminate the fraction by multiplying both sides of the equation by 6:
6 * (11u/6) = 6 * (u + 14)
Simplifying, we get:
11u = 6u + 84
Next, let's move all the u-terms to one side and the constant term to the other side:
11u - 6u = 84
5u = 84
Finally, divide both sides of the equation by 5 to solve for u:
u = 84 / 5
Simplifying the fraction, we have:
u = 16.8
Therefore, the solution to the equation is u = 16.8.
I hope this helps! Let me know if you have any further questions.