2x-9y=8 -5x+8y=20 find x and y
1 answer:
9514 1404 393
Answer:
(x, y) = (-244/29, -80/29)
Step-by-step explanation:
A graph (2nd attachment) shows the solution to be non-integer values, so we'll use the "cross multiply method" to find the solution.
Rewriting the equations to general form gives ....
2x -9y -8 = 0
5x -8y +20 = 0
Writing the coefficients in two rows of four, we have the table as in the first attachment. (The first column is repeated as the 4th column.)
Now, the cross product differences are formed. Each "orange" cross product difference is the difference of the product of "blue" coefficients and the product of "yellow" coefficients. The same formula is copied to the right.
These difference numbers go, left to right, into the form ...
1/p1 = x/p2 = y/p3 . . . . . . where p1, p2, p3 are the cross product differences
In this problem, the solution is ...
x = -244/29 ≈ -8.414
y = -80/29 ≈ -2.759
You might be interested in
Answer:
Step-by-step explanation:
we know that
In the diagram
Equate
<h2>Explanation:</h2><h2></h2>
Here we have the following rational function:
So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:
Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:
Step 2. Shift the graph 2 units down:
Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
- A shifting 2 units down