4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)
5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)
equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
x = -2
substitute x = -2 into equation 1,
8x + 10y = -26
8(-2) + 10y = -26
-16 + 10y = -26
10y = -10
y = -1
The values of x and y are -2 and -1 respectively.
Answer:
2.5
Step-by-step explanation:
Answer:
s = 32
Step-by-step explanation:
–5(s – 30) = –10
Divide each side by -5
–5/ -5(s – 30) = –10/-5
s - 30 = 2
Add 30 to each side
s-30+30 = 2+30
s = 32
The question is how many groups of 2 is in 8.
-2 goes into 8, four times
-8 divided by 2 is 4
The answer is four.
Answer:
<h2>The answer is 38.5</h2>
Step-by-step explanation:
Since we have been given the legs of the right angled triangle we can use Pythagoras theorem to find the hypotenuse
That's
![{h}^{2} = {b}^{2} + {c}^{2}](https://tex.z-dn.net/?f=%20%7Bh%7D%5E%7B2%7D%20%20%3D%20%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bc%7D%5E%7B2%7D%20)
where
h is the hypotenuse
The legs of the triangle are 18 and 34 so the hypotenuse is
![{h}^{2} = {18}^{2} + {34}^{2}](https://tex.z-dn.net/?f=%20%7Bh%7D%5E%7B2%7D%20%20%3D%20%20%7B18%7D%5E%7B2%7D%20%20%2B%20%20%7B34%7D%5E%7B2%7D%20%20)
![h = \sqrt{324 + 1156} \\ h = \sqrt{1480} \\ h = 2 \sqrt{370}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Csqrt%7B324%20%2B%201156%7D%20%20%5C%5C%20h%20%3D%20%20%5Csqrt%7B1480%7D%20%20%5C%5C%20h%20%3D%202%20%5Csqrt%7B370%7D%20)
h = 38.47076
We have the final answer as
<h3>h = 38.5 to the nearest tenth</h3>
Hope this helps you