Answer:
Barbara's speed in clear weather is 
and in the thunderstorm is 
.
Step-by-step explanation:
Let 
be the speed and 
be the time Barbara drives in clear weather, and let 
be the speed and 
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1). 
Also,
(2). 
(3). 
,
and
(4). 
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution 
because it gives a positive value for 
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is .
Answer:
Step-by-step explanation:
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
Bringing like terms on one side
3 + 9 = 4.5x - 1. 5x
12 = 3x
12/3 = x
4 = x
Step 1.) Multiply both sides of the equation by -6
step 2.) Sum the equations vertically to eliminate at least one variable
step 3.) Divide both sides of the equation by
step 4.) Substitute the given value of into the equation x - 2y = 10
step 5.) Solve the equation for x
step 6.) The possible solution of the system is the ordered pair (x , y)
step 7.) Check if the given ordered pair is the solution of the system of equations
step 8.) Simplify the equalities
step 9.) Since all of the equalities are true, the ordered pair is the solution of the system
So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
12 + 5x > 2(8x - 6) - 7x
12 + 5x > 16x - 12 - 7x
5x - 16x + 7x > -12 - 12
-4x > -24 / : (-4)
x < 6
