2 years ago

How to substitute equations

1 answer:

5 0

When you are substituting equations, all you are doing is plugging in variables. Lets do an example..something random but easy...
y = 2x - 3
4x + 2y = 10
So since 2x + 3 equals y we are going to plug in those numbers into the second equation.
4x + 2(2x - 3) = 10
Now we distribute
4x + 4x - 6 = 10
Combine like terms.
8x - 6 = 10
Add 6 to both sides.
8x = 16
Divide.
x = 2
And thats how you substitute equations.
I hope this helps love! :)

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An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highw

Vladimir [108]

Answer: 11378.58 ft

Step-by-step explanation:

1. Draw a figure like the one attached, where A is the position of the airplane and B and C are the positions of the cars.

2. The distance between the cars is the length BC, then, you need to calculate the measure of BD and DC to add them and obtain BC.

<h2> 3. You know the opposite side and the angles of depression, then, you can calculate the distance between the cars as following:</h2>

$BC=BD+DC\\BC=\frac{5150}{tan(35)}+\frac{5150}{tan(52)}\\BC=11378.58ft$