Graphing
Find the solution to the system by graphing.
y= x+4
y= 2x+5
(-1, 3)
x=4y
2x+3y=22
(8, 2)
x + y = -6
x - y = -10
(-8, 2)
You spend $800 on clothes. Shirts cost $10 and pants cost $20. You buy a total of 50 items.
Write a system of linear equations to find the number of shirts, s, and the number of pants, p, you buy.
(Don't have to solve)
s + p = 50
10s + 20p = 800
You graph a system of equations and you see the lines intersect at the point (3, 2).
What type of solution is this?
one solution
Find the solution to the system by graphing.
y= 3x-2
y= -x-2
(0, -2)
y=x-2
3x - 1y = 16
(7, 5)
8a + 5b = 9
2a - 5b = -4
(0.5, 1)
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660.
Write a system of equations to represent the situation.
6s + 8h = 700
9s + 6h = 660
y = 2x - 4
y = 2x + 3
What type of solution will this have?
no solution
y=-3
x=5
y= 3x - 1
7x + 2y = 37
(3, 8)
6x + 9y = 18
6x + 10y = 30
(-15, 12)
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
3s + 1c = 38
3s + 2c = 52
y = 4x - 5
y = 4x - 5
What type of solution will this have?
infinitely many solutions
y= 1/3x - 3
2x - y = 8
(3, -2)
3s - 2t = 4
t = 2s - 1
2a - 3b = 12
-8a + 16b = -48
(6, 0)
Cinemark sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
4m + 7r = 3,365
m + r = 578
y = 1/2 x +3
-1x + 2y = 8
no solution