Solve for the variable using the given information.
given : GM = 28
GE - 3x+9 EM - 8x-25
Presumably, this is dealing with two collinear line segments.
GE + EM = GM
(-3x+9) + (-8x-25) = 28
-11x - 16 = 28
-11x = 44
x = -4
Since your notation is unclear, we might have had:
(3x+9) + (8x-25) = 28
11x -16 = 28
11x=44
x=4
Take your pick, and be clearer next time.
To solve for the variable, we need to set up an equation using the given information.
From the given information, we have:
GM = 28
GE - 3x + 9 = EM - 8x - 25
To solve for the variable, we can equate the two expressions for GM:
GM = GE - 3x + 9
Substituting GM = 28, we have:
28 = GE - 3x + 9 (equation 1)
We can also simplify the expression for EM:
EM = 8x - 25
Now, we can substitute this expression for EM into equation 1:
28 = GE - 3x + 9
28 = GE + 8x - 34
Combining the like terms, we get:
36 = GE + 8x
To solve for the variable, let's isolate x by subtracting GE from both sides:
36 - GE = 8x
Finally, divide both sides by 8:
x = (36 - GE)/8
Thus, the variable x can be expressed as (36 - GE)/8.
To solve for the variable in the given equation, we can use the concept of isolating the variable on one side of the equation.
Let's break down the equation given:
GM = 28
GE - 3x + 9 = EM - 8x - 25
Since GM is equal to 28, we can substitute this value into the equation:
28 = GE - 3x + 9 = EM - 8x - 25
Now, let's solve for the variable x by isolating it on one side of the equation.
First, let's group like terms.
GE - EM - 3x + 8x + 9 + 25 = 28
Combine the like terms:
(GE - EM) + (8x - 3x) + (9 + 25) = 28
Simplify:
GE - EM + 5x + 34 = 28
Next, let's get rid of the constant term by subtracting 34 from both sides of the equation:
GE - EM + 5x = 28 - 34
GE - EM + 5x = -6
Now, let's combine the x terms by isolating 5x:
5x = -6 - GE + EM
Finally, divide both sides of the equation by 5 to solve for x:
x = (-6 - GE + EM)/5
Therefore, the value of x is (-6 - GE + EM)/5.