Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Answer:
a) There will be approximately a water depth of 7.5 meters after 3h
b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.
Step-by-step explanation:
a) Look for the y-value when the x-value is 3.
b) Look for the x-value when the y-value is 8.
*The y-axis is the depth (m), and the x-axis is the time (h).
Answer:
An adults ticket costs $9
Step-by-step explanation:
Kids:
$7
Adults:
$9
So if you add 7+7+7= 21 (kids)
then do 9+9=18(adults)
Then add them together you get 39$
Answer:
It is proportional
Step-by-step explanation:
To determine if its proportional/non-proportional is by using ratios
so go line by line
p pine and k oak
12 pine to 44 oak
18 pine to 66 oak
24 pine to 88 oak
30 pine to 110 oak
Start with the first line
p= pine per k= oak
so obviously not numbers but to help mind you it just means the numbers will be put as p/k (to make life simpler)
Or pine over oak
Second Line
12/44 which reduces down to 3/11
Third Line
18/66 which reduces down to 3/11
Fourth line
24/88 which reduces down to 3/11
Fifth line
30/110 which reduces down to 3/11
In order to be proportional the ratios all have to be equivalent to each other
Therefore,
3/11 = 3/11 = 3/11 = 3/11
So this is proportional
