3y + 11 + 7x - 30 + 5x + 14
3y + 12x - 5
3y = -12x + 5
y = (-12x + 5)/3
x = (3y - 5)/-12
hope this helps
Answer:
y= -2/3x-3
Step-by-step explanation:
The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12
Create a system of 2 equations
Let x be daily fee and y the mileage charge, then
4x + 370y = 244.50...........(1)
3x + 190y = 161.50..............(2)
If we multiply (1) by 3 and (2) by -4 and add the 2 equations we eliminate x:-
12x + 1110y = 733.50
-12x - 760y = -646 Adding :-
350y = 87.5 so y = 0.25
Plugging y = 0.25 into eqation (1) we get 4x = 244.50 - 0.25 * 370
giving x = 38
Answer is daily fee = $38 and mileage charge = $0.25 per mile.
