1.
Use substitution to solve this linear system: $x=4+y$, $4x+16y=-264$
Substitute x=4+y into 4x+16y=-264. Solve for y, then substitute back to find x. 4(4+y)+16y=-264 => 20y=-280 => y=-14 => x=-10.
2.
Create a linear system to model this situation: Cheri charges 19 dollars for a small lawn and 29 dollars for a large lawn. One weekend she made $287 by cutting 13 lawns.
Let s=small lawns and l=large lawns. Total lawns gives s+l=13 and total revenue gives 19s+29l=287.
3.
The perimeter of a rectangular field is 276 m. The length is 18 m longer than the width. What are the dimensions of the field?
Let l=w+18 and use 2l+2w=276. Substitute and solve for w, then find l.
4.
Create a linear system to model this situation: Tickets for a school play cost 8 dollars for adults and 4.75 dollars for students. There were ten more student tickets sold than adult tickets, and a total of $1399 in ticket sales was collected.
Let a=adult tickets and s=student tickets. Revenue gives 8a+4.75s=1399 and '10 more students' gives s=a+10.
5.
Solve using substitution: $(3/2)x+(1/2)y=3$, $3x-(1/3)y=2$
Multiply first equation by 2 to get 3x+y=6. Solve for y=6-3x and substitute into second equation.
1 out of 1
