Does (2,0) work as a solution to the systems of equations to lines 3x+y=6 and 3x-y=6
1 answer:
Answer:
Yes
Step-by-step explanation:
To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.
3x + y = 6:
- (2,0) is a solution to this equation.
3x - y = 6:
- (2,0) is a solution to this equation.
Therefore, the answer is yes, it does work as a solution.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
You might be interested in
Greetings!
Solve the System, using Elimination:
Multiply Equation #2 by 2:
Eliminate variable x:
Divide both sides by 4:
Input this value into one of the Equations:
Simplify:
Divide both sides by 4.
The Solution to this System (The Point of Intersection):
I hope this helped!
-Benjamin
Solve the System, using Elimination:
Multiply Equation #2 by 2:
Eliminate variable x:
Divide both sides by 4:
Input this value into one of the Equations:
Simplify:
Divide both sides by 4.
The Solution to this System (The Point of Intersection):
I hope this helped!
-Benjamin
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
<em></em>
Therefore, the angle between their paths is <em>100.8°</em>
