1. If 2x/5y=6,what is the value of y, in terms of x ?
2. 11/4-a=3 , What is the value of a in the equation ?
1. What you probably meant was
2x/(5y) = 6
then 2x = 30y
y = 2x/30 = x/15
2. Again, without brackets, we could assume you meant
11/(4-a) = 3
but I will take you at face value and do it according to the order of operation.
11/4 - a = 3
11/4 - 3 = a
a = 11/4 - 12/4
a = -1/4
using 11/(4-a) = 3
11 = 12 - 3a
3a = 1
a = 1/3
Can you see how critical brackets are when typing on here?
thank you
1. To find the value of y in terms of x, we can isolate y in the equation 2x/5y = 6.
First, let's cross-multiply:
2x = 6 * 5y
Simplify:
2x = 30y
Next, divide both sides of the equation by 30:
(2x)/30 = (30y)/30
Simplify further:
x/15 = y
Therefore, the value of y in terms of x is y = x/15.
2. To find the value of a in the equation 11/4 - a = 3, we can solve for a by isolating it.
First, subtract 3 from both sides of the equation:
11/4 - a - 3 = 3 - 3
11/4 - a = 0
Next, to remove the fraction, multiply both sides of the equation by 4:
4 * (11/4 - a) = 4 * 0
11 - 4a = 0
Now, subtract 11 from both sides of the equation:
11 - 11 - 4a = 0 - 11
-4a = -11
Finally, divide both sides of the equation by -4:
(-4a)/-4 = (-11)/-4
a = 11/4
Therefore, the value of a in the equation is a = 11/4.
To find the value of y in terms of x in the equation 2x/5y = 6, we need to isolate y on one side of the equation.
1. Start by multiplying both sides of the equation by 5/2 to eliminate the fraction:
(5/2)(2x/5y) = (5/2)(6)
x/y = 15
2. To isolate y, we can multiply both sides of the equation by y:
(y)(x/y) = (y)(15)
x = 15y
Therefore, the value of y in terms of x is y = x/15.
Now, let's move on to the second question.
To find the value of a in the equation 11/4 - a = 3, we will follow a similar process.
1. Start by isolating a on one side of the equation by subtracting 3 from both sides:
11/4 - a - 3 = 3 - 3
11/4 - a = 0
2. To isolate a, subtract 11/4 from both sides:
11/4 - a - 11/4 = 0 - 11/4
-a = -11/4
3. Multiply both sides of the equation by -1 to solve for a:
(-1)(-a) = (-1)(-11/4)
a = 11/4
Therefore, the value of a in the equation 11/4 - a = 3 is a = 11/4.