Answer:
Step-by-step explanation:
Given is a system of equations as

We have 5 variables and 3 equations
a) coefficient matrix of this system is
1 -4 0 -1 0\\
0 1 0 -2 0\\
0 0 0 1 2\\
We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as
1 -4 -1 0\\
0 1 -2 0\\
0 0 1 2\\
b) Augmented matrix is
1 -4 -1 0\\ 7
0 1 -2 0\\
3
0 0 1 2\\3
c) For row operations to ehelon form
we can do R1+4R2 = R1
We get
1 0 -9 0 \\ 19
0 1 -2 0 \\ 3
0 0 1 2 \\ 3
Now let us do R1 = R1+9R3 and R2 = R2+2R3
1 0 0 0 \\ 46
0 1 0 0 \\ 9
0 0 1 2 \\ 3
d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation
e) x1 = 46, x2 = 9, x4+2x5 =3
Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution
Step-by-step explanation:
I guess, the question is, how many miles were driven ?
if that is the case, then
we need to deduct the basic fee of $14.75, as this would have been paid, even if they did not drive a single mile.
so, 50.45 - 14.75 = $35.70
that is the actual cost for the driven miles.
how many miles ?
well, how often do $0.15 fit into $35.70 ?
35.7 / 0.15 = 238 miles.
this customer had been driving the moving van for 238 miles.
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Fourteen billion three hundred ten million
Answer:
7
Step-by-step explanation:
2x-4=10
2x=10+4
2x=14
x=14/2
x=7