Explanation:
We can use the substitution method to solve this system.
First we clear y from the first equation:
[tex]\begin{gathered} 4x-y=11 \\ 4x-11=y \\ y=4x-11 \end{gathered}[/tex]
Then we replace this expression into the second equation:
[tex]\begin{gathered} 2x-4y=-26 \\ 2x-4(4x-11)=-26 \end{gathered}[/tex]
Solve for x:
[tex]\begin{gathered} 2x-16x+44=-26 \\ -14x=-26-44 \\ x=\frac{-26-44}{-14}=\frac{-70}{-14}=5 \end{gathered}[/tex]
And with x = 5 we replace it into the first equation and solve for y:
[tex]y=4x-11=4\cdot5-11=20-11=9[/tex]
Answer:
The solution is (5, 9)
