Let the width of room be =x mtrs
Then the length is x+2 mtrs
As Perimeter = 2(l+b) = 2(x+x+2)
16 = 2 ( 2x+2)
16/2 = 2x +2
8=2x+2
2x= 8-2 = 6
x = 6/2 =3 mtrs
Therefore width of the room is 3 mtrs
The answer of larger angle is 132 degree
The correct answers are:
- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5
![2x - y = -5\\2(7) -19 = -5\\14-19 = -5\\-5 = -5](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-5%5C%5C2%287%29%20-19%20%3D%20-5%5C%5C14-19%20%3D%20-5%5C%5C-5%20%3D%20-5)
Putting the point in x+3y=22
![7 + 3 (19) = 22\\7 + 57 = 22\\64 \neq 22](https://tex.z-dn.net/?f=7%20%2B%203%20%2819%29%20%3D%2022%5C%5C7%20%2B%2057%20%3D%2022%5C%5C64%20%5Cneq%2022)
The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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2(1b × t) ÷ 2 = b
or
2b × 2t ÷2 = b
PLEASE GIVE BRAINLIEST
Answer:
![\large\boxed{y=\dfrac{7}{2}x-18}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D%5Cdfrac%7B7%7D%7B2%7Dx-18%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:
![3x+4x=2y-9](https://tex.z-dn.net/?f=3x%2B4x%3D2y-9)
<em>add 9 to both sides</em>
<em>divide both sides by 2</em>
![\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B2%7Dx%2B%5Cdfrac%7B9%7D%7B2%7D%3Dy%5Cto%20y%3D%5Cdfrac%7B7%7D%7B2%7Dx%2B%5Cdfrac%7B9%7D%7B2%7D)
Parallel lines have the same slope. Therefore we have the equation:
![y=\dfrac{7}{2}x+b](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B7%7D%7B2%7Dx%2Bb)
Put the coordinates of the point (4, -4) to the equation:
![-4=\dfrac{7}{2}(4)+b](https://tex.z-dn.net/?f=-4%3D%5Cdfrac%7B7%7D%7B2%7D%284%29%2Bb)
![-4=7(2)+b](https://tex.z-dn.net/?f=-4%3D7%282%29%2Bb)
<em>subtract 14 from both sides</em>
![-18=b\to b=-18](https://tex.z-dn.net/?f=-18%3Db%5Cto%20b%3D-18)
Finally we have the equation:
![y=\dfrac{7}{2}x-18](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B7%7D%7B2%7Dx-18)