If EG = 59 what are EF and FG?
E to F is 8x-14 and F to G is 4x+1
X=______
EF=_______
FG=_______
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To find the values of X, EF, and FG, we need to set up equations using the information given.
Given:
EG = 59
EF = 8x - 14
FG = 4x + 1
Using the fact that EG = EF + FG, we can substitute the given values into the equation:
59 = (8x - 14) + (4x + 1)
Now, let's solve this equation to find the value of x:
Combine like terms:
59 = 8x - 14 + 4x + 1
59 = 12x - 13
Add 13 to both sides:
59 + 13 = 12x - 13 + 13
72 = 12x
Divide both sides by 12:
72 / 12 = 12x / 12
6 = x
Therefore, x equals 6.
Now that we know the value of x, we can substitute it back into the equations for EF and FG to find their values:
EF = 8x - 14
EF = 8(6) - 14
EF = 48 - 14
EF = 34
FG = 4x + 1
FG = 4(6) + 1
FG = 24 + 1
FG = 25
So, the value of EF is 34 and the value of FG is 25.
(E)--- 8x-14 ----(G)--- 4x+1 ----(F)
Since EF=59,
=>
8x-14+4x+1 = 59
Solve for x.