Question

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

Answer 1

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

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=(19)/(5)}`

`\text{Substitute it to the second equation}\\\\(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=(4)/(20)\\\\\boxed{y=(1)/(5)}`

Answer 2

x = 3.8 , y = 0.2

Step-by-step explanation: