Given :-
- A linear equation in two variables , 3x + 6y = 24 .
To Find :-
- The x and y intercept of the graph .
Solution :-
Given equation is ,
[tex] 3x + 6y = 24 [/tex]
To find the y intercept set x = 0 , we have ,
[tex] 3(0) +6y = 24 [/tex]
Simplify ,
[tex] 6y = 24[/tex]
Divide both sides by 6 ,
[tex] y = 4 [/tex]
Hence the y intercept is 4 .
[tex]\rule{200}2[/tex]
Now again to find x intercept , set y = 0
[tex] 3x +6(0)= 24[/tex]
Simplify ,
[tex] 3x = 24 [/tex]
Divide both sides by 3 ,
[tex] x = 8 [/tex]
Hence the x intercept is 8 .
