<h2>
Greetings!</h2>
Answer:
y =
and x = 
Step-by-step explanation:
To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)
To get -x to -10x we simply need to multiply the first equation by 10:
-x * 10 = -10x
-9y * 10 = -90y
16 * 10 = 160
-10x - 90y = 160
Now we can add the two equations:
-10x + 10x = 0
-90y + 20y = -70y
160 + 20 = 180
-70y = 180
70y = -180
7y = -18
y = 
Now plug
into the second equation:
10x + 20(
) = 20
10x -
= 20
Move the
over to the other side, making it a positive:
10x = 20 + 
10x = 
Divide both sides by 10:
x = 
So y =
and x = 
<h2>Hope this helps!</h2>
Answer: (
, 0), (
, 0)
Step-by-step explanation: Let me know if you need an explanation.
Answer:
70 members in 2016
Step-by-step explanation:
In 2016
Let the number of members= x
They all paid y amount
Total fees= 42
Xy= 42...... equation 1
In 2017
Members= x+20
They paid y-0.1
Total fees = 45
(X+20)(y-0.1)= 45…equation 2
Xy -0.1x +20y -2= 45
Using values from equation 1
42-0.1(42/y) +20y -2= 45
-4.2/y+20y-5= 0
20y² -4.2 -5y = 0
100y² -25y -21= 0
Solving quadratically
Y= 0.6 or -0.35
We are dealing with price so y Is
definitely a positive number
Y= 0.6
If y= 0.6
Solving for x
Xy= 42
X= 42/0.6
X=70
There were exactly 70 members in 2016
Answer:
-I have attached a photo-
Step-by-step explanation:
would have been the slope and 1 would be the y-intercept.
Answer:
B
Step-by-step explanation:
Using the pythagorean theorem A^2 + B^2 = C^2 the only numbers that work are those in choice B. 8 short leg, 15 long leg, 17 hypotenuse.
8^2 + 15^2 = 17^2 = 64 +225=289 = 289=289 therefor proving these set of numbers are a right triangle.