The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. during one particular week, the two cars went a combined total of 1450 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?

1st car = x

 2nd car = y

 x +y = 55 gallons rewrite as x=55-y

15x + 40y = 1450 miles

15(55-y)+40y=1450

825-15y + 40y=1450

825+25y=1450

25y=625

y = 25

x = 55-25=30

1st car used 30 gallons and 2nd car used 25 gallons

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18