Answer:
[tex]x=1[/tex]
[tex]y=2[/tex]
Step-by-step explanation:
Given Equation :
[tex]6x-y=4 \\[/tex] Equation:1
[tex]3x+y=5[/tex] Equation:2
Using Elimination method add Equation:1 and 2:
[tex]6x-y+(3x+y)=4+5\\[/tex]
[tex]6x-y+3x+y=9\\\\6x+3x=9[/tex]
[tex]9x=9[/tex]
Dividing '[tex]9[/tex]' both the sides:
[tex]x=1[/tex]
Putting the value of 'x' in equation:2
[tex]3x+y=5[/tex]
[tex]3(1)+y=5[/tex]
[tex]3+y=5[/tex]
Subtracting '3' both sides:
[tex]y=5-3[/tex]
[tex]y=2[/tex]
The solution of the equation is:
[tex]x=1[/tex]
[tex]y=2[/tex]
