Evaluate the expression below when x=1/2 and y=4

4x+6/8y

3 answers

To evaluate the expression 4x + 6/8y when x = 1/2 and y = 4, we substitute these values into the expression:

4(1/2) + 6/8(4)

Simplifying,

2 + 6/32

To add 2 and 6/32, we need to find a common denominator. The common denominator of 2 and 32 is 32 itself.

Multiplying 2 by 16/16, we get 32/16.

Adding 32/16 and 6/32, we get:

32/16 + 6/32 = 38/32

Simplifying,

38/32 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2:

38 ÷ 2 / 32 ÷ 2 = 19/16

Therefore, when x = 1/2 and y = 4, the value of the expression 4x + 6/8y is 19/16.
Solve
To solve the equation 4x + 6/8y = 0, we need to isolate the variable x.

4x + 6/8y = 0

First, let's simplify the equation by multiplying through by 8y to get rid of the fraction:

8y(4x) + 8y(6/8y) = 0

32xy + 6 = 0

Next, let's move the constant term to the other side of the equation:

32xy = -6

Now, isolate x by dividing both sides of the equation by 32y:

x = -6 / (32y)

Simplifying the right side of the equation:

x = -3 / (16y)

Therefore, the solution to the equation 4x + 6/8y = 0 is x = -3 / (16y).