Question

solve this by multiplication method

$2x + 5y = 1 \\ 2x + 3y = 3$
please help ​

Answer 1

Given: 2x + 5y = 1

2x + 3y = 3

Multiplying 》》

(2x + 5y)(2x +3y) = 3×1

4x2 + 16xy + 15y2 = 3

Solve now

Answer 2

$2x + 5y - 1 = 0 \\ 2x + 3y - 3 = 0 \\ \frac{x}{(5)( - 3) - (3)( - 1)} = \frac{y}{ (2)( - 1) - ( 2)( - 3)} = \frac{1}{(2)( - 3) - (2)( - 1)} \\ \frac{x}{ - 15 - ( - 3)} = \frac{y}{ - 2 - ( - 6)} = \frac{1}{ - 6 - ( - 2)} \\ \frac{x}{ - 15 + 3} = \frac{y}{ - 2 + 6} = \frac{1}{ - 6 + 2} \\ \frac{x}{ - 12} = \frac{y}{ 4} = \frac{1}{ - 4} \\ \frac{x}{ - 12} = \frac{1}{ - 4} \\ x = \frac{ - 12}{ - 4} \\ x = 3 \\ \frac{y}{4} = \frac{1}{ - 4} \\ y = \frac{4}{ - 4} \\ y = - 1$