Answer:
Equation Form: x=−2,y=−2
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
3/2x+1=−x−4
Solve 3/2x+1=−x−4
for x. x=−2
Evaluate y when x=−2.
y=−2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,−2)
The result can be shown in multiple forms.
Point Form:
(−2,−2)
Equation Form:
x=−2,y=−2
9x^3-39x^2-38x+40=(3x-2)(3x+4)(x-5) by synthetic division
Thus roots are -4/3, 2/3, 5
A community group bought 30 tickets to an amusement park at a total cost of $810. They bought x student tickets for $25 each and y adult tickets for $30 each.
***
let x=number of student tickets bought
30-x=number of adult tickets bought
..
25x+30(30-x)=810
25x+900-30x=810
5x=90
x=18
30-x=12
number of student tickets bought=18
number of adult tickets bought=12
Hope this helps!
