Answer:
There were 6 benches in park 1 and 18 benches in park 2.
Step-by-step explanation:
Let x be the no of benches in Park 1 and y in park 2.
Given that there are 12 more benches in park 2 than 1
Writing this in equation form, we have y = x+12 ... i
Next is if 2 benches were transferred from park 2 to park 1, then we have
x+2 in park 1 and y-2 in park 2.
Given that y-2 = twice that of x+2
Or y-2 = 2x+4 ... ii
Rewrite by adding 2 to both sides of equation ii.
y = 2x+6 ... iii
i-iii gives 0 = -x+6
Or x =6
Substitute in i, to have y = 6+12 = 18
Verify:
Original benches 6 and 18.
18 = 6+12 hence I condition is satisfied
18-2 = 2(6+2)
II is also satisfied.
The Answer Is No Solution!
The formula for the area of a triangle of base b and altitude h is A = (1/2)(b)(h).
Here, b = 18 cm and h = 9 cm. Thus, the desired area is:
(18 cm)(9 cm)
A = ----------------------- = 81 cm^2
2
This problem gives you more info than is needed to solve it. The area of the given triangle is 81 cm^2.
Answer:
2, 4
Step-by-step explanation:
Ok so for this you have to substitute. y=4 so you put a 4 where the y is. This becomes
4 - 3x = -2 We can already rule out (2,2) and (4,2) Why? Because the y is not a 4. So it’s gonna be either (0,4) or (2,4). Now, we have to find x. We have to isolate it. You do this by subtracting 4 from both sides.
4 - 4 - 3x = -2 - 4 Now Simplify
-3x = -6 Why -6? Because you can’t subtract a positive from a negative so it becomes -2 + -4. Since they are both negatives, you just add them together, then put the negative sign.
Now divide -3 from both sides. Which becomes
x = 2
