A) w + d = 799
B) w = d + 49
B) w -d = 49
Adding A & B
2w = 848
washer = 424
w -49 = d
dryer = 424 -49
dryer = 375
Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
![\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B1%3D%202x-1%5C%5Cx%5E2%20%2B%202%20%3D%204x%20-%202%5C%5Cx%5E2-4x%2B4%3D0)
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
They need 64 pieces for each of them to receive four slices.