Given
The system of equations are
[tex]\begin{gathered} x+4y=9.............1 \\ 2x-4y=-6...........2 \end{gathered}[/tex]
Explanation
To find the values of x and y use the elimination method.
Add equation 1 and 2 ,
[tex]\begin{gathered} (x+4y-9)+(2x-4y+6)=0 \\ 3x-3=0 \\ x=1 \end{gathered}[/tex]
Substitute the value of x in equation 1,
[tex]\begin{gathered} 1+4y=9 \\ 4y=8 \\ y=2 \end{gathered}[/tex]
The value of x is 1 and y is 2.
Answer
The ordered pair of solutions is
x=1 and y=2.
[tex](1,2)[/tex]
