Answer:
HE=3
Step-by-step explanation:
Equations
With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.
Data:
HE=1/3 HG
HE=x-3
HG=4x-15
Replacing the last two equations in the first:
x-3=1/3(4x-15)
Multiply both sides by 3:
3(x-3)=4x-15
Operate:
3x-9=4x-15
Moving x's to the left and numbers to the right:
3x-4x=-15+9
Joining like terms:
-x=-6
Multiply by -1:
x=6
Since HE= x-3:
HE=6-3
HE=3
