Answer:
Step-by-step explanation:
A system of linear equations is one which may be written in the form
a11x1 + a12x2 + · · · + a1nxn = b1 (1)
a21x1 + a22x2 + · · · + a2nxn = b2 (2)
.
am1x1 + am2x2 + · · · + amnxn = bm (m)
Here, all of the coefficients aij and all of the right hand sides bi are assumed to be known constants. All of the
xi
’s are assumed to be unknowns, that we are to solve for. Note that every left hand side is a sum of terms of
the form constant × x
Solving Linear Systems of Equations
We now introduce, by way of several examples, the systematic procedure for solving systems of linear
equations.
Here is a system of three equations in three unknowns.
x1+ x2 + x3 = 4 (1)
x1+ 2x2 + 3x3 = 9 (2)
2x1+ 3x2 + x3 = 7 (3)
We can reduce the system down to two equations in two unknowns by using the first equation to solve for x1
in terms of x2 and x3
x1 = 4 − x2 − x3 (1’)
1
and substituting this solution into the remaining two equations
(2) (4 − x2 − x3) + 2x2+3x3 = 9 =⇒ x2+2x3 = 5
(3) 2(4 − x2 − x3) + 3x2+ x3 = 7 =⇒ x2− x3 = −1
Answer:
90 tickets
Step-by-step explanation:
let the number of tickets be x
and the total amount each has be y
For Jessica
the amount is
y=10x--------1
for Laurie the amount is
Note: she has $360 already
y=360+6x-------2
to find the number of the tickets that will make them have the same amount, let us equate 1 and 2
10x=360+6x
10x-6x=360
4x=360
x=360/4
x=90
It would take 4750 because 1L is 5000 ml and 5000-250=4750. Use the web to do it in metric measurements.
Answer:
(D)
Step-by-step explanation:
The given fractions are:
.
We have to find the product of the given fractions, that is:
=
Simplifying the mixed fractions, we get
=
=
Converting the answer into mixed fraction, we get
=
which is the required answer.