Answer:
A Exactly 1 solution
Step-by-step explanation:
if we express both equations as y = mx+b
we will see that both equations have different slopes (i.e "m" values are different).
By definition, 2 straight lines of different slopes will intersect at only one location (i.e there is only one solution)
1. 1 1/8= 18/16
5/16*2= 10/16
4/16*2= 8/16
9/16= 9/16
1/2= 8/16
18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16
Simplify:
4 & 5/16sq ft
2. All you do is multiply that by 3... so 4 & 5/16 = 53/16 53/16*3 = 159/16 = 9 & 15/16 sq ft
x + y = 3.36 --> the boys are splitting $3.36
x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other
--> substitute the second equation for the x in the first equation
(3y - .12) + y = 3.36 --> combine like terms
4y - .12 = 3.36 --> add .12 to both sides of the equation
4y = 3.48 --> divide both sides by 4
y = .87
the other boy gets $0.87
substitute into x = 3y - 12
x = 3(.87) - .12
x = 2.61 - .12
x = 2.49
the first boy gets $2.49