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
750 sq ft
Step-by-step explanation:
since the fencing is going around the perimeter, you have to have two sides with the width of 25 feet, you would use 50 feet of fencing for 2 of the sides. You will have 60 feet of fencing left, divided by 2 (length of the garden) = 30 feet long.
The area (length x width) or (25 x 30) = 750 sq ft of garden space. Draw a rectangle with 25 ft on two parallel sides and 30 ft on the other two sides and show these equation= 25 x 2= 50, 110 - 50 = 60
60 ÷ 2 = 30, 30 x 25 = 750
Step-by-step explanation:
your answer is 84,000
From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.
S = kx
where k is the proportionality constant
Using variation,
k = S₁/x₁ = S₂/x₂
Substituting,
34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
<em>It does not follow the company's policy.</em>
Answer:
Half Dozen Donuts: $6.59
Donut Holes: $4.89
2 Vanilla Lattes: $6.98
Subtotal: $18.37
Tax: $1.47
Total: $19.84
Step-by-step explanation:
It finally worked. So I guess it only shows on computers, not mobile.
