Answer:
[tex]x=\frac{1}{2}\\\\y=-6[/tex]
Step-by-step explanation:
Given the following system of equations:
[tex]\left \{ {{4x-11y=68} \atop {6x+5y=-27}} \right.[/tex]
In order to solve the system of equations using the Elimination Method, you can follow these steps:
- Multiply the first equation by -6 and the secondd equation by 4.
- Add both equations.
- Solve for "y".
Then:
[tex]\left \{ {{-24x+66y=-408} \atop {24x+20y=-108}} \right\\.........................\\86y=300\\\\y=\frac{-516}{86}\\\\y=-6[/tex]
- Substitute the value of "y" into one of the original equations and solve for "x":
[tex]6x+5(-6)=-27\\\\6x=-27+30\\\\x=\frac{3}{6}\\\\x=\frac{1}{2}[/tex]
