Answer:
(x, y ) = (- 2, 3 )
Step-by-step explanation:
given the 2 equations
7x - 2y = - 20 → (1)
9x + 4y = - 6 → (2)
multiply (1) by 2 making the coefficients of y equal and opposite
14x - 4y = - 40 → (3)
add (2) and (3) term by term
(9x + 14x ) + (4y - 4y ) = (- 6 - 40 )
23x = - 46 ( divide both sides by 23 )
x = - 2
substitute x = - 2 into either (1) or (2) for y
(2) - 18 + 4y = - 6 ( add 18 to both sides )
4y = 12 ( divide both sides by 4 )
y = 3
solution is (- 2, 3 )
Answer:
<h3>x = 27</h3>
Step-by-step explanation:
Given the expression
, we are to find the value of x in the expression. This is as shown below;

add 22 to both sides


divide both sides by 2

raise both sides to the power of 3/5
![(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27](https://tex.z-dn.net/?f=%28x%5E%7B5%2F3%7D%29%5E%7B3%2F5%7D%20%3D%20%28243%29%5E%7B3%2F5%7D%5C%5Cx%20%3D%20%28%5Csqrt%5B5%5D%7B243%7D%29%20%5E3%5C%5Cx%20%3D%203%5E3%5C%5Cx%20%3D%2027)
Hence the value of x is 27
Given:
Total distance =
miles
Hiking before lunch =
miles
To find:
How much further does Sylvia have left to hike?
Solution:
Let x be the remaining hiking distance.
We know that,
Total hiking distance = Hiking before lunch + Remaining hiking distance




Isolate variable term.



It can be written as



So,
miles left to hike.
Therefore, the correct option is C.
(0,0) on the coordinate plane is the center (origin)
Answer:
He needs to learn the disciplinary principal
Step-by-step explanation: