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:
B) 150
Explanation:
...
First taking into account the if he buys in order.
Brian has 10 choices for the first selection of fish, 9 for the second selection and 8 for the third selection.
Thus you have 10*9*8 = 720 possible ways
However the question did not specify if it is in order. Now counting how many possible orders for each selection you can have
fish 1 , fish 2 , fish 3 or
fish 1 , fish 3 , fish 2 or
fish 2 , fish 1 , fish 3 or
fish 2 , fish 3 , fish 1 or
fish 3 , fish 1 , fish 2 or
fish 3 , fish 2 , fish 1 or
We have 6 order.
dividing the possible ways by the order we have 720 / 60 = 120
The answer is B. 120
Answer:
the answer is 24
Step-by-step explanation:
68-38 = 24
You multiply both equations by a factor to get them to have the same X coefficient, the first by 5 and the second by 2, you get 10x-15y=5 and 10x+8y=28. Then you subtract the equations to get 23y=23, y=1, plug y into first equaition, x=2. Answer is (2,1)
