Consider the equations shown: ax + by = ab & 2ax + 3by = 3b

Which of these is the value of y in terms of a?

Option 1 : y = 3a – 35

Option 2 : y = 2ab – 3b

Option 3 : y = 9a – 35

Option 4: y = 3 – 2a

Respuesta :

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]