Answer:
x= 19/4
Step-by-step explanation:
Answer:
c = 72
Step-by-step explanation:
multiply both sides of the equation by 8 to eliminate the fraction
c = 8 × 9 = 72
note that
= 9
Step-by-step explanation:
x + y = 985
2.95x + 9.95y = 7343.75
-2.95x - 2.95y = -2905.75
7y = 4438
y= 634 steak sandwiches
x + 634 = 985
x = 351 hot dogs
Answer:
2x^2 - x - 15 = 0.
Step-by-step explanation:
In factor form this is
(x + 5/2)(x - 3) = 0
x^2 + 5/2x - 3x - 15/2 = 0
x^2 - 1/2x - 15/2 = 0
Multiply through by 2:
2x^2 - x - 15 = 0.

![\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3) \\\\\\ 3y+15=5x-15\implies -5x+3y=-30\implies \stackrel{\textit{multiplying by -1}}{5x-3y=30}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20LCD%20of%203%7D%7D%7B3%28y%2B5%29%3D3%5Cleft%5B%20%5Ccfrac%7B5%7D%7B3%7D%28x-3%29%20%5Cright%5D%7D%5Cimplies%203y%2B15%3D5%28x-3%29%0A%5C%5C%5C%5C%5C%5C%0A3y%2B15%3D5x-15%5Cimplies%20-5x%2B3y%3D-30%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20by%20-1%7D%7D%7B5x-3y%3D30%7D)
bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.