Question

4x-11y=68 ; 6x+5y=-27 by elimination

Answer 1

`x=(1)/(2)\\\\y=-6`

Explanation:

Given the following system of equations:

`\left \{ {{4x-11y=68} \atop {6x+5y=-27}} \right.`

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:

`\left \{ {{-24x+66y=-408} \atop {24x+20y=-108}} \right\\.........................\\86y=300\\\\y=(-516)/(86)\\\\y=-6`

- Substitute the value of "y" into one of the original equations and solve for "x":

`6x+5(-6)=-27\\\\6x=-27+30\\\\x=(3)/(6)\\\\x=(1)/(2)`