Cost=cost per person times number of people
f=number of people/friends
c=cost
cost per person=20
c=20f
the table goes like this
(f) 5 10 15 20
(c) 100 200 300 400
12 - 5(3r + 2) = 17 |use distributive property a(b + c) = ab + ac
12 - 15r - 10 = 17
2 - 15r = 17 |subtract 2 from both sides
-15r = 15 |divide both sides by (-15)
r = -1
6 * 105 = 630
the team scored approximately 630 points in 6 games.
The given system of equations is :
x−y=−11 ...(1)
y+7=−2x ...(2)
First step is to solve equation (1) for x so that we can substitute that x in equation (2) to get the value of y. So, add y to each sides of equation (1). Hence,
x = y - 11.
Next step is to plug in y - 11 for x in equation (2). So,
y + 7 = -2(y - 11)
y + 7 = -2y + 22 By distribution property.
y + 7 - 7 = -2y + 22 - 7 Subtract 22 from each sides.
y = -2y + 15
y + 2y = -2y + 15 + 2y Add 2y to each sides of the equation.
3y = 15
Divide each sides by 3.
So, y = 5.