Here's link to the answer:
cutt.us/tWGpn
Answer:
Do you mind showing a photo of the table? Otherwise I can't really help. I need to know what her bills are.
Answer:
1st option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)
m =
=
=
= -
, then
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (9, - 1 ) , then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = -
x + 5 ← equation of line
Answer:
(x, y, z) = (6, 7, 6)
Step-by-step explanation:
Maybe your matrix is ...
![\left[\begin{array}{ccc|c}3& -1& 7& 53\\ 1& 7& 1& 61\\ 9& 1&1&67\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D3%26%20-1%26%207%26%2053%5C%5C%201%26%207%26%201%26%2061%5C%5C%209%26%201%261%2667%5Cend%7Barray%7D%5Cright%5D)
A calculator can tell you the solution is ...
(x, y, z) = (6, 7, 6)
_____
For systems of equations in more than 2 variables the third variable can be defined in terms of the other two (as for solution by substitution). This can be substituted into the remaining equations to obtain two equations in two unknowns. That solution can then be used to find the value of the third variable. The attachment shows application of this method.
We used the last equation to define z, then used that definition in the first two equations. The same approach can be used for an algebraic solution.
The solution is (x, y, z) = (6, 7, 6).