x = [tex]\frac{(4 + 5y)}{(y + 3)}[/tex]
multiply both sides by (x - 5)
y(x - 5) = 4 - 3x
xy - 5y = 4 - 3x
collect terms in x on the left side of the equation and other terms on the right side.
add 3x to both sides
xy + 3x - 5 y = 4
add 5y to both sides
xy + 3x = 4 + 5y
take out x as a common factor on the left side
x(y + 3) = 4 + 5y
divide both sides by (y + 3)
x = [tex]\frac{(4 + 5y)}{(y + 3)}[/tex]
Making x subject of the formula is as follows:
x = 4 + 5y / y + 3
Making x the subject of a formula means rearranging the formula so that we have a single x variable equal to the rest of it.
y = 4 - 3x ÷ x - 5
y = [tex]\frac{4 - 3x}{x - 5} [/tex]
cross multiply
y(x - 5) = 4 - 3x
distribute the values on the left side
yx - 5y = 4 - 3x
add 3x to both sides of the equation
yx + 3x - 5y = 4 - 3x + 3x
yx + 3x - 5y = 4
add 5y to both sides
yx + 3x - 5y + 5y = 4 + 5y
yx + 3x = 4 + 5y
factorise the left hand side
x(y + 3) = 4 + 5y
divide both sides by (y + 3)
Therefore,
x = 4 + 5y / y + 3
learn more on subject of a formula: https://brainly.com/question/14420338?referrer=searchResults
