Answer:
y variable will be elimited when adding the system of equations
x = 2 or y = 3
Step-by-step explanation:
- x + 6y = 16
8x - 6y = -2
Add both equations
(-x + 8x) + {6y + (-6y)} = 16 + (-2)
7x + 6y - 6y = 16 - 2
7x + 0 = 14
7x = 14
x = 14/7
x = 2
- x + 6y = 16
- 2 + 6y = 16
6y = 16 + 2
6y = 18
y = 18/6
y = 3
the x variable will be eliminating when adding the system of equations and the
y variable will be elimited when adding the system of equations
or the sum of the system equations is negative 8X = 14 or
x = 2 or y = 3
or there's only one solution to the system equations
Answer:
Step-by-step explanation:
Using the Law of Sines is the way to go, but before you we use it we need the measure of angle A.
180 - 102 - 28 = A so
A = 50 degrees. Now setting up the Law:
and cross multiply to get
27sin50 = asin28 and
so
a = 44.1 cm
Answer:
It is necessary that 2x-2 and 3x-6 are equal since the triangle is equilateral, so 2x-2 = 3x-6 --> x = 4. The side length of the triangle is 2*4 - 2 = 6. Plugging in x = 4, 10-x = 6 and 6x-5 = 17, so 10-x must be the third side.
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
5x + 3y = 18
2x + 3y = 9
So we can use elimination here to solve this system of equations by multiplying the second equation by -1
Now we have:
5x + 3y = 18
-2x - 3y = -9
Now we add straight down and combine like terms
The y terms cancel and we are left with 3x = 9, dividing both side by 3 we get x = 3
Now we can plug this x value into one of the original equations to solve for our y value
I will use the first equation: 5(3) + 3y = 18 → condensing the terms we get 15 + 3y = 18 → subtracting the 15 from both sides we get 3y = 3 → dividing both sides by 3 we get y = 1
The solution to this system of equations is (3, 1)
Answer:
Ben is 4 meters below the surface area.