Answer:
x = 10.375.
Explanation:
To find the value of x in the equation EF - 8x + 10 = FG, we can use the information provided:
EF - 8x + 10 = FG
FG = 25
Now, we can substitute FG = 25 into the equation:
EF - 8x + 10 = 25
Next, let's isolate the term with x on one side of the equation:
EF - 8x = 25 - 10
EF - 8x = 15
Now, add 8x to both sides of the equation to isolate EF:
EF - 8x + 8x = 15 + 8x
EF = 15 + 8x
Now, we know that EG = 123, and EG can also be expressed as EF + FG. So:
EG = EF + FG
123 = EF + 25
Subtract 25 from both sides of the equation to isolate EF:
EF = 123 - 25
EF = 98
Now, we have EF = 98, and we previously found EF = 15 + 8x. Equate the two expressions for EF:
15 + 8x = 98
Subtract 15 from both sides:
8x = 98 - 15
8x = 83
Now, divide both sides by 8 to find the value of x:
8x/8 = 83/8
x = 10.375
So, the value of x is approximately 10.375.