Question

(Linear Equation) solve by the Elimination method3x-2y=11 (I)x-4y=3​

Answer 1

Answer:

x = 3.8 , y = 0.2

Step-by-step explanation:

Answer 2

Answer:

$\huge\boxed{x=\dfrac{19}{5};\ y=\dfrac{1}{5}\to\left(\dfrac{19}{5};\ \dfrac{1}{5}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}3x-2y=11&|\text{multiply both sides by (-2)}\\x-4y=3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-6x+4y=-22\\x-4y=3\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad-5x=-19\qquad|\text{divide both sides by (-5)}\\.\qquad\boxed{x=\dfrac{19}{5}}$

$\text{Substitute it to the second equation}\\\\\dfrac{19}{5}-4y=3\qquad|\text{multiply both sides by 5}\\\\19-20y=15\qquad|\text{subtract 19 from both sides}\\\\-20y=-4\qquad|\text{divide both sides by (-20)}\\\\y=\dfrac{4}{20}\\\\\boxed{y=\dfrac{1}{5}}$