Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
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How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
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Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Easy,
23y-(7x-2y)+x
<span>There is an imaginary</span> 1 in front of the parentheses, making it,
23y-1(7x-2y)+x
Now, distribute the 1.
-1*7x= -7x
and
-1*-2y= 2y
Leaving your problem looking like...
23y-7x+2y+x
Combine your apples and oranges.....
25y-6x
Thus, your answer.
Answer:
Ten thousands place. Brainliest please!!
Hi there!
First, we need to determine the volume.
1/2 × 2 × 7/2 = 7/2 in cubed
3.5 cubes with sidelengths of 1in can fit in, since both units are three dimensional and 7/2 ÷ 1 = 3.5
7 cubes with sidelengths of 1/2 can fit because 7/2 ÷ 1/2 = 7
Hope this helps!
Answer:
The height of the tower is 150 ft
Step-by-step explanation:
Let the height of the tower be H feet.
The corresponding sides will then be in the same proportion.
The ratio of the shadows will be in the same proportion as the ratio of the heights.
We multiply both sides by 10 to get:
Therefore, the height of the tower is 150 ft