![6 = - 4x + y \\ - 5x - y = 21](https://tex.z-dn.net/?f=6%20%3D%20%20-%204x%20%2B%20y%20%5C%5C%20%20-%205x%20-%20y%20%3D%2021)
Solve the first equation for y
![y = 4x + 6 \\ - 5x - y = 21](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%206%20%5C%5C%20%20-%205x%20-%20y%20%3D%2021)
Substitute the given value of y into the equation -5x-y=21
![- 5x - (4x + 6) = 21](https://tex.z-dn.net/?f=%20-%205x%20-%20%284x%20%20%2B%20%206%29%20%3D%2021)
When there is a - in front of an expression in parentheses, change the sign of each term in the expression
![- 5x - 4x - 6 = 21](https://tex.z-dn.net/?f=%20-%205x%20-%204x%20-%206%20%3D%2021)
Collect like terms
![- 9x - 6 = 21](https://tex.z-dn.net/?f=%20-%209x%20-%206%20%3D%2021)
Move the constant to the right-hand side and change its sign
![- 9x = 21 + 6](https://tex.z-dn.net/?f=%20-%209x%20%3D%2021%20%2B%206)
Add the numbers
![- 9x = 27](https://tex.z-dn.net/?f=%20-%209x%20%3D%2027)
Divide both sides of equation by -3
![x = - 3](https://tex.z-dn.net/?f=x%20%3D%20%20-%203)
Substitute the given value of x into the equation y=4x+6
![y = 4 \times ( - 3) + 6](https://tex.z-dn.net/?f=y%20%3D%204%20%5Ctimes%20%28%20-%203%29%20%2B%206)
Multiply the numbers
![y = - 12 + 6](https://tex.z-dn.net/?f=y%20%3D%20%20-%2012%20%2B%206)
Calculate the difference
![y = - 6](https://tex.z-dn.net/?f=y%20%3D%20%20-%206)
The possible solution of the system is the ordered pair (x,y)
![(x,y)=(-3,-6)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28-3%2C-6%29)
Bottom Right, the X values do not repeat
Answer:
35 + 5x= 100 -8x =
Step-by-step explanation:
35 +5x =100 -8 x
5x + 8x = 100 -35
13x = 65
x = 13/65
x =5
Answer:
she has 3/2 pounds left
Step-by-step explanation: