Question

Find the common solution:
$3x+2y=11$
$5x-4y=11$

Answer 1

• Given $3x+2y=11$ and $5x-4y=11$
• Which implies $3x+2y=11=5x-4y$ , so we get $3x+2y=5x-4y$ , which gives $x=3y$
• Substitute $x=3y$ in $1$st equation , we get $11y=11$ , which gives $y=1$ and $x=3y=3$