Answer: The required solution is (x, y) = (5, 1).
Step-by-step explanation: The given system of equations is
\(7x+4y=39~~~~~~~~~~~~~(i)\\2x+4y=14~~~~~~~~~~~~~(ii)\)
We are to solve the above system of equation by elimination method.
Subtracting equation (ii) from equation (i), we have
\((7x+4y)-(2x+4y)=39-14\\\\\Rightarrow 5x=25\\\\\Rightarrow x=\dfrac{25}{5}\\\\\Rightarrow x=5.\)
Substituting the value of 'x' in equation (ii), we have
\(2\times 5+4y=14\\\\\Rightarrow 10+4y=14\\\\\Rightarrow 4y=4\\\\\Rightarrow y=1.\)
Therefore, x = 5 and y = 1.
Thus, the required solution is (x, y) = (5, 1).
