Let's solve this system of equations through substitution.
We have these two equations.
-7x-2y=14
6x+6y=18
Now let divide the second equation by 6.
6x+6y=18 ----> x+y=3
Next, let us move y to the right side of the equation.
x+y=3 -------> x=3-y (x equals 3-y)
Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.
-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)
We have a one variable equation now and can solve for y.
-7(3-y)-2y=14
-21+7y-2y=14
5y=35
y=7
Plug in 7 for y in any equation to find x.
x+y=3
x+7=3
x=-4
answer: x=-4, y=7
The value of x from the given triangle is 32√3/3
<h3>SOH CAH TOA identity</h3>
In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
Learn more on SOH CAH TOA here: brainly.com/question/20734777
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Answer:
8 11/100
Step-by-step explanation:
8.11 is the same thing as 8 whole numbers and since the .11 is in the hundreths place, it becomes 11/100.
Hello! To answer this question we have to make an equation. In this equation I will represent the total number of songs Lou has as the variable x.
So 4x +6x + x = 682
This simplifies to 11x = 682. When you divide both sides by 11 you get x = 62. This is how many songs Lou has.
Since we are trying to find how many songs Kelly has, we must multiple 62 x 4 to get 248. Kelly has 248 songs.
Answer: (A) -5 and (C) -3
<u>Step-by-step explanation:</u>
See attached graph. They intersect when x = -5 and when x = 3
