Question

By making a change of variables and letting a = 1/x and b = 1/y, the following system can be converted into a system of linear equations in terms of a and b. Solve the new system and use your solution to find the solution to the original system of equations:

Answer 1

2/x - 3/y = 11/3

3/x + 2/y = -1

Answer 2

^ this is the original system of equations : )

Answer 3

I will walk you through with one.
(6, -5) and is parallel to the line whose equation is 2x - 3y = 11?

2x - 3y = 11
add 3y to both sides
2x=11+3y
-11
2x-11=3y
3y=2x-11
/3
y= (2/3)*x-11/3
slope m = 2/3
The parallel line will have the same slope as that of the given line.



so slope of the required line will be 2/3
..
line passes through (6,-5)
plug the value of slope , and the point (6,-5) to find b the y intercept
of the required line
y=mx+b
-5=2/3 *6+b
-5=4+b
b=-9
...
so the equation has slope 2/3 and y intercept -9
y=(2/3)x-9
...

Answer 4

Oh my god thank you so much!!!!