Answer:
The equation is: [tex]\frac{x+3}{7-x} = 4[/tex]
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"
[tex]\frac{x+3}{7-x} = 4[/tex]
This is then the equation that represents the statement, and now for the solution of the problem: solving for the unknown.
[tex]\frac{x+3}{7-x} = 4\\x+3=4\,(7-x)\\x+3=28-4x\\x+4x=28-3\\5x=25\\x=5[/tex]
Answer:
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
