Answer:
[tex]X=5, y=2[/tex]
Step-by-step explanation:
Given Equations:
[tex]X=3y-1[/tex] Equation:1
[tex]X+2y=9[/tex] Equation:2
Using substitution method, put the value of 'X ' in equation:1 in equation:2
[tex]X+2y=9[/tex]
[tex](3y-1)+2y=9\\\\3y-1+2y=9\\\\5y-1=9[/tex]
Adding '1' to both sides:
[tex]5y-1+1=9+1\\\\5y=10\\\\y=\frac{10}{5}\\\\y=2[/tex]
Putting value of 'y' in equation:1 to find 'X'
[tex]X=3y-1\\\\X=3(2)-1\\X=6-1\\X=5[/tex]
So, [tex]X=5, y=2[/tex]
