If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Let x represent the unknown number. Write an equation in terms of x that represents the given situation. Find the number

The equation is:

The solution is:   x = 5

Step-by-step explanation:

Let's write the statement given in math form using "x" to represent the unknown:

"a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4"

This is then the equation that represents the statement, and now for the solution  of the problem: solving for the unknown.

3+x

= 4

7-x

x=5

Step-by-step explanation:

3+x

= 4

7-x

Multiply each side by (7-x)

3+x = 4(7-x)

Distribute

3+x = 28 - 4x

Add 4x to each side

3+x+4x= 28-4x+4x

3 +5x = 28

Subtract 3 from each side

5x = 28-3

5x= 25

Divide by 5

5x/5 = 25/5

x = 5

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180