Answer:
Step-by-step explanation:
The equation of the line that is parallel to the line we are trying to find is
We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:
Therefore the equation of the line is:
Given Equation:
Let us remove parenthesis first.
In order to remove parenthesis, we need to distribute -4 over parenthesis (2/3 h -3).
Distributing -4 over (2/3 h -3), we get,
-4*2/3 h - 4*-3 = -8/3 h + 12.
Substituting this value in original equation, we get
Now, in order to make the equation easy to solve, we always remove fractions. In order to remove fraction, we need to find the lowest common denominator of all terms(lcd).
The fraction terms has 3 in denominators, so we could multiply each and every term by 3 to remove 3's from denominators.
Multiplying each equation by 3, we get,
On simplfying this step, we get
Combining like terms on left side, we get
-7h +36 = 2h -18.
Subtracting 36 from both sides, we get
-7h +36 -36= 2h -18-36.
-7h=2h-54
Subtracting 2h from both sides, we get
-7h-2h=2h-54-2h
-9h = -54
Dividing both sides by -9.
-9h/-9 = -54/-9
h = 6.
Therefore, final answer is h=6.