Answer:
(1, 5).
Explanation:
Given the system of equations:
[tex]\begin{gathered} 4x+y=9 \\ 3х-5у=-22 \end{gathered}[/tex]Make y the subject in the first equation:
[tex]y=9-4x[/tex]Substitute y=9-4x into the second equation:
[tex]\begin{gathered} 3x-5y=-22 \\ 3x-5(9-4x)=-22 \\ 3x-45+20x=-22 \\ 3x+20x=-22+45 \\ 23x=23 \\ x=\frac{23}{23} \\ x=1 \end{gathered}[/tex]Next, we solve for y:
[tex]\begin{gathered} y=9-4x \\ =9-4(1) \\ y=5 \end{gathered}[/tex]The solution to the system of equations is (1, 5).
