if ef=9x+14 fg=6x and eg=9 whT is x
To find the value of x, we can use the given information and solve for x.
Since ef = 9x + 14 and fg = 6x, we know that fg + ge = ef.
Substituting the given values for fg and ge, we have 6x + 9 = 9x + 14.
To isolate x, we subtract 6x from both sides of the equation:
9 - 6x = 9x + 14 - 6x
9 - 6x = 3x + 14
Next, we subtract 3x from both sides of the equation:
9 - 9x = 14
Subtract 9 from both sides of the equation:
-9x = 5
Finally, divide both sides by -9 to solve for x:
x = -5/9
Therefore, x is equal to -5/9.
To find the value of x, we can equate the given expressions and solve for x.
Given:
1. ef = 9x + 14
2. fg = 6x
3. eg = 9
Since fg = ef - eg (using the transitive property of equality), we can substitute the given values into the equation:
6x = (9x + 14) - 9
Now, let's solve for x step-by-step:
1. Distribute the 9:
6x = 9x + 14 - 9
2. Combine like terms:
6x = 9x + 5
3. Subtract 9x from both sides to isolate the variable:
6x - 9x = 9x + 5 - 9x
-3x = 5
4. Divide both sides by -3 to solve for x:
(-3x) / -3 = 5 / -3
x = -5/3
Therefore, x = -5/3.
To find the value of x in the given scenario, we can use the fact that the sum of the lengths of two segments is equal to the length of the entire line segment when those two segments are adjacent.
In this case, we have ef and fg as the two segments that make up the line segment eg. Therefore, we can set up the following equation:
ef + fg = eg
Replacing the given values, we get:
9x + 14 + 6x = 9
Simplifying the equation by combining like terms, we have:
15x + 14 = 9
Next, we can isolate the term with x by subtracting 14 from both sides of the equation:
15x = 9 - 14
This further simplifies to:
15x = -5
Finally, we solve for x by dividing both sides of the equation by 15:
x = -5/15
Simplifying the fraction, we get:
x = -1/3
Therefore, the value of x in this scenario is -1/3.