Answer:
8. x=+1 y=+2 . 9. x=+4 y=+3
Step-by-step explanation:
3x - 14 = 6 + 2x
Add 14 to each side.
3x = 20 + 2x
Subtract 2x from each side
x = 20
To solve the problem we must know about the Ratio.
<h2>What is Ratio?</h2>
A ratio shows us the number of times a number contains another number.
The length of the living space, in reality, is 21 meters.
Given to us
- The scale is given as 2 centimeters equals 2.5 meters.
To find
- the actual length of the living space if the length of the scale drawing is 16. 8 centimeters
<h3>Scale ratio</h3>
As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as
![\dfrac{\text{Length of the scale drawing}}{\text{Length in reality}} = \dfrac{2\ cm}{2.5\ meters}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BLength%20of%20the%20scale%20drawing%7D%7D%7B%5Ctext%7BLength%20in%20reality%7D%7D%20%3D%20%5Cdfrac%7B2%5C%20cm%7D%7B2.5%5C%20meters%7D)
<h3>Length of the living space</h3>
Using the same scale ratio,
![\dfrac{\text{Length of the living space in scale drawing}}{\text{Length of the living space in reality}} = \dfrac{2\ cm}{2.5\ meters}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BLength%20of%20the%20living%20space%20in%20scale%20drawing%7D%7D%7B%5Ctext%7BLength%20of%20the%20living%20space%20in%20reality%7D%7D%20%3D%20%5Cdfrac%7B2%5C%20cm%7D%7B2.5%5C%20meters%7D)
![\dfrac{16.8}{x} = \dfrac{2\ cm}{2.5\ meters}\\\\x=\dfrac{16.8 \times 2.5}{2} = 21\ meters](https://tex.z-dn.net/?f=%5Cdfrac%7B16.8%7D%7Bx%7D%20%3D%20%5Cdfrac%7B2%5C%20cm%7D%7B2.5%5C%20meters%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B16.8%20%5Ctimes%202.5%7D%7B2%7D%20%3D%2021%5C%20meters)
Hence, the length of the living space, in reality, is 21 meters.
Learn more about Ratio:
brainly.com/question/1504221
combining like terms means to get rid of one factor on both sides of the equation.
M=-1/2 is the slope
x+2y=6
2y=-x+6
y=-1/2x+6
y=mx+b
m is slope