Answer:
(x, y) = (- 2, 5)
Step-by-step explanation:
given the 2 equations
3y = 11 - 2x → (1)
3x = y - 11 → (2)
Rearrange (2) expressing y in terms of x
add 11 to both sides
y = 3x + 11 → (3)
Substitute y = 3x + 11 into (1)
3(3x + 11) = 11 - 2x
9x + 33 = 11 - 2x ( add 2x to both sides )
11x + 33 = 11 ( subtract 33 from both sides )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 in (3) for corresponding value of y
y = (3 × - 2) + 11 = - 6 + 11 = 5
As a check
substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.
(1) : left side = (3 × 5) = 15
right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right
(2) : left side = (3 × - 2 ) = - 6
right side = 5 - 11 = - 6 ⇒ left = right
solution = (- 2, 5 )
The set X = { x , {x} } would, I think, fit the Bill
So its 2 elements
(-5,7) Quadrant 2
(5,-18) Quadrant 4
(10,6) Quadrant 1
(-6,-4) Quadrant 3
(-2,6) Quadrant 2
(2,-6) Quadrant 4
(-10,-13) Quadrant 3
(-4,0) x axis
(0,5) y axis
The gallons of oil in the tank is 1000
A 6500 gallon storage tank is 2/13 full
The number of oil in the tank can be calculated by multiplying the amount of gallons in the tank which is 6500 by the measurement of the tank which is 2/13
= 2/13 × 6500
= 13,000/13
= 1,000
Hence 1000 gallons of oil are in the tank
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Answer:
Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.