Answer:
The value of y in the given equation is [tex]\frac{4x}{3}+5[/tex]
∴ [tex]y=\frac{4x}{3}+5[/tex]
Step-by-step explanation:
Given equation is [tex]3y-4x=15\hfill (1)[/tex]
Now we have to solve the given equation for "y" :
[tex]3y-4x=15[/tex]
Subtracting 15 on both the sides in the above equation
[tex]3y-4x-15=15-15[/tex]
[tex]3y-4x-15=0[/tex]
Now add (4x+15) on both sides
[tex]3y-4x-15+4x+15=0+4x+15[/tex]
[tex]3y+0+0=4x+15[/tex]
[tex]3y=4x+15[/tex]
Now Divide the above equation by 3 on both sides we have
[tex]\frac{3y}{3}=\frac{4x+15}{3}[/tex]
[tex]y=\frac{4x+15}{3}[/tex]
[tex]=\frac{4x}{3}+\frac{15}{3}[/tex]
[tex]=\frac{4x}{3}+5[/tex]
∴ [tex]y=\frac{4x}{3}+5[/tex]
∴ The value of y in the given equation is [tex]\frac{4x}{3}+5[/tex]
