Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
Answer: 3x + 4c + 11
Step-by-step explanation: Combine like terms.
Answer:
5. 8/6x + 2
6. -4x - 2
7. y=3
Step-by-step explanation:
Answer: 72 cars.
Step-by-step explanation:
Let be "x" the number of toys that Moby had to start with.
According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:
![\frac{1}{2}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx)
Then he bought 12 more cars, giving a total amount of 48 toy cars.
Therefore, the equation that represents this situation is the equation shown below:
![x-\frac{1}{2}x+12=48](https://tex.z-dn.net/?f=x-%5Cfrac%7B1%7D%7B2%7Dx%2B12%3D48)
Now you must solve for "x" in order to find its value.
You get that this is:
![\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%2B12%3D48%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dx%3D48-12%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dx%3D36%5C%5C%5C%5Cx%3D%2836%29%282%29%5C%5C%5C%5Cx%3D72)