Answer:
x = 37
Step-by-step explanation:
3y - 20 + x + 13 = 3x + 9
3y - 16 = 2x
1.5y - 8 = x
2y + 3x + 9 = 180
2y + 3x = 171
2y + 3(1.5y - 8) = 171
2y + 4.5y - 24 = 171
6.5y = 195
y = 30
1.5y - 8 = x
1.5 * 30 - 8 = x
45 - 8 = x
37 = x
Answer:
1 1/3 and 2 5/6
Step-by-step explanation:
First you find 1 on the number line. Then, since it's divided into sixths, you convert 1/3 to 2/6. Then you can move 2 places to the right from 1.
To find 2 5/6 you first start at 2. Then you move 5 places to the right and plot your point.
Answer:
Q1: No solutions
Q2: x=2, y=-2
Q3: x=1, y=4
Step-by-step explanation:
Q1: Found out 0y = 18 which is impossible therefore no solution.
Q2:
In the first equation: ![2x - 4y = 12](https://tex.z-dn.net/?f=2x%20-%204y%20%3D%2012)
Let's express x in terms of y by changing the subject. Follow my steps.
![2x = 12+4y](https://tex.z-dn.net/?f=2x%20%3D%2012%2B4y)
![x = \frac{12+4y}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B12%2B4y%7D%7B2%7D)
Now let's put the x above into the second equation: ![-14x-4y=-20](https://tex.z-dn.net/?f=-14x-4y%3D-20)
It becomes:
. Follow my steps.
![-7(12+4y)=-20+4y](https://tex.z-dn.net/?f=-7%2812%2B4y%29%3D-20%2B4y)
![-84-28y=-20+4y](https://tex.z-dn.net/?f=-84-28y%3D-20%2B4y)
![-32y=64](https://tex.z-dn.net/?f=-32y%3D64)
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
Put y = -2 into the first equation:
![2x-4(-2)=12](https://tex.z-dn.net/?f=2x-4%28-2%29%3D12)
![2x+8=12](https://tex.z-dn.net/?f=2x%2B8%3D12)
![2x=12-8](https://tex.z-dn.net/?f=2x%3D12-8)
![2x=4](https://tex.z-dn.net/?f=2x%3D4)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Q3:
Multiply the first equation by 3 and the second equation by 7, so that both are 21x.
1st equation:
![3(7x-3y)=3(-5)](https://tex.z-dn.net/?f=3%287x-3y%29%3D3%28-5%29)
![21x-9y=-15](https://tex.z-dn.net/?f=21x-9y%3D-15)
2nd equation:
![7(3x+2y) = 7(11)](https://tex.z-dn.net/?f=7%283x%2B2y%29%20%3D%207%2811%29)
![21x+14y = 77](https://tex.z-dn.net/?f=21x%2B14y%20%3D%2077)
We can now substract the 2nd equation with the 1st equation so that both 21x cancels out and only the variable y remains.
![21x-9y-(21x+14y)=-15-77](https://tex.z-dn.net/?f=21x-9y-%2821x%2B14y%29%3D-15-77)
![21x-9y-21x-14y=-92](https://tex.z-dn.net/?f=21x-9y-21x-14y%3D-92)
![-23y=-92](https://tex.z-dn.net/?f=-23y%3D-92)
![y=4](https://tex.z-dn.net/?f=y%3D4)
Put y = 4 into the second equation to find x.
![3x+2(4)=11](https://tex.z-dn.net/?f=3x%2B2%284%29%3D11)
![3x+8=11](https://tex.z-dn.net/?f=3x%2B8%3D11)
![3x=11-8](https://tex.z-dn.net/?f=3x%3D11-8)
![3x = 3](https://tex.z-dn.net/?f=3x%20%3D%203)
![x=1](https://tex.z-dn.net/?f=x%3D1)
(9m)^4 means 9m is multiplied by itself 4 times:
It can be written as: (9m)(9m)(9m)(9m)
Heart if it was helpful