The number of game the softball team lose is 47 games.
<h3 /><h3 /><h3>The softball team played 149 games. </h3>
Total games played = 149 games
The team won 8 more than two times the number of games they lost.
Let
the number of games they lost = x
Therefore,
- number of game won = 8 + 2x
The number of game they lose can be calculated as follows:
8 + 2x + x = 149
8 + 3x = 149
3x = 149 - 8
3x = 141
x = 141 / 3
x = 47
Therefore, the team lost 47 games.
learn more on algebra here: brainly.com/question/14406047?referrer=searchResults
-(x-20)
Basically it’s the same as your other question but your not adding twenty!
Answer:
Step-by-step explanation:
88 / sides of a square
88 / 4 = 22
each side is 22m
Answer:
x=1/4
y = -2
(1/4, -2)
b
Step-by-step explanation:
4x -y =3
y =-8x
substitute y =-8x into the first equation. Everywhere you see y put 8x
4x -y =3
4x - (-8x) =3
4x+8x=3
combine like terms
12x = 3
divide by 12
12x/12x = 3 /12
x = 1/4
now we need to find y
y = -8x
y = -8 * 1/4
y = -2
<h3>
Answer: x = 7 and y = 3</h3>
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Explanation:
Apply the difference of squares rule
x² - 4y² = 13
x² - (2y)² = 13
(x - 2y)(x + 2y) = 13
Since x and y are positive integers, this means x-2y and x+2y are both integers as well.
The value 13 is prime. Its only factors are 1 and 13
Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:
- A) x-2y = 1 and x+2y = 13
- B) x-2y = 13 and x+2y = 1
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Let's consider case A
We have this system of equations
![\begin{cases}x-2y = 1\\x+2y = 13\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dx-2y%20%3D%201%5C%5Cx%2B2y%20%3D%2013%5Cend%7Bcases%7D)
Add the equations straight down
- x+x becomes 2x
- -2y+2y becomes 0y = 0 which goes away
- 1+13 becomes 14
Therefore we have 2x = 14 solve to x = 7
From here, plug this into either equation to solve for y
x-2y = 1
7 - 2y = 1
-2y = 1-7
-2y = -6
y = -6/(-2)
y = 3
You should get the same result if you used x+2y = 13
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Since we've found that x = 7 and y = 3, notice how case B is not possible
Example: x-2y = 13 becomes 7-2(3) = 13 which is false.
Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.
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Let's check those x and y values in the original equation
x² - 4y² = 13
7² - 4*(3)² = 13
49 - 4(9) = 13
49 - 36 = 13
13 = 13
The answer is confirmed.