Respuesta :
Answer: [tex]x=1;y=1[/tex] or (1,1)
Step-by-step explanation:
You can apply the Method of substitution.
Knowing that [tex]x = 2y - 1[/tex] (second equation), you can substitute it into the first equation and solve for the variable y:
[tex]2x+y=3\\2(2y - 1)+y=3\\4y-2+y=3\\5y=3+2\\5y=5\\y=1[/tex]
Now you need to substitute [tex]y=1[/tex] into the second equation [tex]x = 2y - 1[/tex] to calculate the value of the variable x. Then:
[tex]x = 2(1) - 1\\x=2-1\\x=1[/tex]
Then, the solution is:
[tex]x=1;y=1[/tex] or (1,1)