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2 years ago

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

Mathematics

1 answer:

zimovet [89]2 years ago

4 0

Answer:

$x=\frac{1}{2}\\\\y=-6$

Step-by-step 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:

$\left \{ {{-24x+66y=-408} \atop {24x+20y=-108}} \right\\.........................\\86y=300\\\\y=\frac{-516}{86}\\\\y=-6$

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

$6x+5(-6)=-27\\\\6x=-27+30\\\\x=\frac{3}{6}\\\\x=\frac{1}{2}$

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