9514 1404 393
Answer:
(x, y) = (-3/7, -1 1/7)
Step-by-step explanation:
We can divide each equation by 2 and subtract the constant to put them in general form.
x -3y -3 = 0
3x -2y -1 = 0
This form facilitates use of the "cross multiplication method" of solution. That method tells us ...
1/d1 = x/d2 = y/d3
where the differences d1, d2, d3 are the differences of cross-products:
d1 = 1(-2) -(3(-3)) = 7
d2 = -3(-1) -(-2(-3)) = -3
d3 = -3(3) -(-1(1)) = -8
Then the solutions are ...
x = d2/d1 = -3/7
y = d3/d1 = -8/7
(x, y) = (-3/7, -8/7)
_____
<em>Additional comment</em>
When the general form equations ax+by+c=0 and dx+ey+g=0 have their coefficients written in two rows: (note the repeated first coefficient)
The pattern in the cross-differences is relatively easy to see:
The expressions for the solution values, (x, y) = (d2/d1, d3/d1), are substantially identical to those of Cramer's method.
Answer:
40 rows will hamsters fill
Step-by-step explanation:
As per the statement:
There are 486 hamsters at a private showing of a new documentary about humans.
⇒Total number of hamsters = 486
It is also given that there are 12 seats in each row.
then;
They will fill =
Therefore, the best estimate the rows will hamsters fill is 40 rows.
Answer:
The volume of the cylinder ≅ 197.82
Step-by-step explanation:
The volume of a cylinder is equal to the area of the base times the height. We know the radius, therefore we can find the area of the base. The formula for the volume of the cylinder is as follows:
V = π
(now substitute the values of "r" and "h", and get...)
V = π
x π
V = (9)(7)π
V = 63π
V ≅ 197.82
Answer:
The answer is A
Step-by-step explanation:
240,000 = 60%
x = 100%
=