Answer:
[tex]x = \dfrac{7y - 4 }{2y +5 }[/tex]
Step-by-step explanation:
Given that:
[tex]y =\dfrac{4-5x}{2x-7}[/tex]
If we cross multiply the above expression, we have:
y(2x - 7)= 4 - 5x
2xy - 7y = 4 - 5x
2xy +5x -7y + 4 = 0
x(2y +5) -7y + 4 = 0
x(2y + 5) = 7y - 4
Divide both sides by (2y+5)
[tex]\dfrac{x(2y + 5)}{2y + 5} = \dfrac{7y - 4 }{2y +5 }[/tex]
[tex]x = \dfrac{7y - 4 }{2y +5 }[/tex]
