Question

Solve the following systems of equations:
$x+\frac{y}{2}=4$
$\frac{x}{3}+2y=5$

Answer 1

Equation (2)×3 : $x+6y=15$

Equation (1) : $x+y/2=4$

Subtract two equations ;

$\Rightarrow \frac{11y}{2}=11$

$\Rightarrow y=2$

Substitute in equation (1);

$\Rightarrow x=3$