Respuesta :
Given
[tex]2x+y=8,x-2y=-1[/tex]Find
Solution to the system of equations
Explanation
To find the solution we can use various methods . but here we will use substitution method.
2x+y=8 , from this equation we find the value of y and then substitute it in other equation.
[tex]\begin{gathered} 2x+y=8 \\ y=8-2x.................................(1) \end{gathered}[/tex]now, put it in second equation
[tex]\begin{gathered} x-2y=-1 \\ x-2(8-2x)=-1 \\ x-16+4x=-1 \\ 5x=15 \\ x=3 \end{gathered}[/tex]put value of x in 1 to find y.
[tex]\begin{gathered} y=8-2x \\ y=8-6 \\ y=2 \end{gathered}[/tex]Final Answer
Solution to the equations is x = 3 and y = 2
