Answer:
The value of x and y for the given linear equation is [tex]x=3-\frac{5}{8}y[/tex] and [tex] y=\frac{24-8x}{5}[/tex]
Step-by-step explanation:
Given equation is [tex]8x+5y=24[/tex]
The above equation is of the form linear equation
The linear equation can be written [tex]ax+by=c[/tex] where c is a constant
To find the values of x and y
[tex]8x+5y=24[/tex]
[tex]8x=24-5y[/tex]
[tex]x=\frac{24-5y}{8}[/tex]
[tex]\frac{24}{8}-\frac{5}{8}y[/tex]
Therefore [tex]x=3-\frac{5}{8}y[/tex]
Similarly [tex]8x+5y=24[/tex]
[tex]5y=\frac{24-8x}{5}[/tex]
Therefore [tex]x=3-\frac{5}{8}y[/tex] and [tex] y=\frac{24-8x}{5}[/tex]
