Notice that both equations contain + 2y so if we subtract the first equation form the second we get:-
8x - 7x + 2y - 2y = 30 - 24
x = 6
Now to find the value of y we substitute for x in the first equation.
7(6) + 2y = 24
2y = 24 - 42
2y = -18
y = -9
So the solution to the system of equations is x = 6 , y = -9 (answer)
Answer:
-4
Step-by-step explanation:
(2i)² = 2²*i² = 4 * -1 = -4
Answer:
length = 10 cm; width = 25 cm
Step-by-step explanation:
Let's call the length 2x and the width 5x. Since perimeter can be calculated by multiplying the sum of the length and width by 2 we can write:
2 * (2x + 5x) = 70
2 * (7x) = 70
7x = 35
x = 5 which means the length is 2 * 5 = 10 and the width is 5 * 5 = 25.
The rectangle volume formula is:
Volume: length*width*height
Plugging in the values from the problem:
630 = length*5*7
630 = length*35
630/36 = length*35/35
18 = length
The length of the swimming pool is 18 feet
Answer:
The bench costs $350
Step-by-step explanation:
et the cost of the bench = x
the cost of the garden table = x + 94
x + (x + 94) = 794
2x + 94 = 794
2x = 700
x = 350
The bench costs $350 and the garden table costs 350 + 94 = $444