Use integers or fractions for any numbers in the expression.

Question

asked Dec 19, 2023 81.6k views

1 Answer

Hayi Nukman · Answer 1 · 2023-12-24T22:18:07+0000

Solution:

Consider the following injective function:

this is equivalent to:

by cross-multiplication, this is equivalent to:

$(x-5)y\text{ = 3x+6}$

now, applying the distributive law, we get:

$xy-5y\text{ = 3x+6}$

this is equivalent to:

$xy\text{ -5y -3x = 6}$

Applying the common factor, we get:

$x(y-3)\text{ -5y = 6}$

this is equivalent to:

$x\text{ (y-3)}=\text{ 6+5y}$

solving for x, we get:

$x\text{ = }(6+5y)/(y-3)$

so that, we can conclude that the correct answer is: