The total cost of a shirt and a tie was $75.62. if the price of the shirt was $4.02 less than the tie, what was the price of the
1 answer:
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Answer:
see below
Step-by-step explanation:
In the system of equations, x represents the, price to wash a car and y represents the price to wash an SUV.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.
x=12 and y = 18
x+y = 12+18 = 30
The total cost of 1 car and 1 SUV is $_30____.
5x+4y = 5(12)+4(18) = 60+ 72 =132
The total earnings for hour 3 are $_132_____.
Solution:
Keep in mind ,
Equation of line joining two points (a,b) and (p,q) is given by :
Equation of line P which is obtained by joining (- 8,15) and (6, - 12) is given by:
Equation of line Q which is obtained by joining (4,16) and (-9, 10) is given by:
Equation of line P and Q are
27 x+14 y+6=0-------(1)× 2
6 x-13 y+184=0-------(2)× 9
54 x + 2 8 y+12=0---(1)
54 x -117 y +1656=0----(2)
(1) - (2)
145 y= 1644
y=11.33,
27 x+14 y+6=0-------(1)×13
6 x-13 y+184=0-------(1)×14
351 x + 182 y + 78=0-----(1)
84 x - 182 y +2576=0----(2)
(1) + (2)
435 x + 2654=0
x = - 6.11
So, solution set is (-6.11, 11.33)
Option (C) is true. (−2, 4), because this point makes both the equations incorrect.
