Find the solution to the system.
1. y=x^2+5x+6
y=4x+12

find the solution to the system.
2. y=x^2-3x-1
y=8x-1

The profit the landscaper receives in a week that he services 36 lawns = $3600.

Step-by-step explanation:

i) let the profit made by the landscaper be known as y

ii) let the number of lawns serviced be = x

iii) let k be a constant to represent an average price of a lawn that is serviced

iv) therefore we can write a linear equation for the profit made by the landscaper as   y = kx

v) therefore  we know from given information that  2000 = 25k and also that   600 = 11k .

vi) Subtracting the second equation in vi) from first equation in vi) we get

 1400 = 14k.

vii) therefore k = 100.

viii) therefore for 36 lawns the profit is y = 100 36 = $3600.