Question

If EF-8x+10, FG=25, and EG=123, find the value of x.

Answer 1

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.