QUESTION

Write the solution of the pair of the linear equations 4x + 2y = 5 and x –2 y = 0.

Hint: Use one of the equations from the question to express x in terms of y. Substitute x in the other equation and solve it to reach the answer.

$\therefore x-2y=0$
$\Rightarrow 4\times 2y+2y=5$
$\Rightarrow y=\dfrac{5}{10}=\dfrac{1}{2}$
And as from equation (i) we know x is equal to 2y, so, we can say that x = $2\times \dfrac{1}{2}=1$ .
Therefore, the solution of the linear equation given in the question is $\left( 1,\dfrac{1}{2} \right)$ .