Answer:
[tex]x=\frac{63}{26}[/tex], [tex]y=\frac{46}{13}[/tex]
Step-by-step explanation:
We want to solve the system of equations;
-4x + 5y=8...(1)
6x - y = 11...(2)
Make y the subject of the second equation.
y=6x - 11...(3)
Put equation (3) into equation (1)
-4x + 5(6x-11)=8
-4x + 30x-55=8
Group similar terms;
-4x + 30x=55+8
Combine similar terms
26x=63
Divide both sides by 26
[tex]x=\frac{63}{26}[/tex]
Put [tex]x=\frac{63}{26}[/tex] into equation 3.
[tex]y=6(\frac{63}{26}) - 11[/tex]
This implies that;
[tex]y=\frac{46}{13}[/tex]
