Answer:
The equation has no solution; therefore, the system of equations has no solution
Step-by-step explanation:
we have
-----> equation A
-----> equation B
we know that
If after applying the linear combination method, Heather arrived at the equation 0 = 60
then
The reason is because both lines are parallel, therefore the system of equations has no solutions
<u>Verify</u>
isolate the variable y in the equation A
--------> the slope is 1/3
isolate the variable y in the equation B
--------> the slope is 1/3
Remember that
If the slopes are equal the lines are parallel
so
The system of equations has no solutions
The answer is 4.5 hours.
120 miles/2 hours = 60 mph
270-120 = 150 miles
150 miles/60 mph = 2.5 hrs
2 hrs+2.5 hrs = 4.5 hours for the whole trip
1. You have that:
- The<span> lengths of the bases are (6x-1) units and 3 units.
- The midsegment has a length of (5x-3) units.
2. To solve this exercise, you must apply the formula for calculate the length of the midsegment of a trapezoid, which is shown below:
Midsegment=Base1+Base2/2
As you can see, the midsegment is half the sum of the bases of the trapezoid.
3. When you substitute the values, you obtain:
(5x-3)=[(6x-1)+3]/2
4. Now, you can solve the problem by clearing the "x":
</span>
(5x-3)=[(6x-1)+3]/2
2(5x-3)=6x-1+3
10x-6=6x+2
10x-6x=2+6
4x=8
x=8/4
x=2
