Question

Ecuaciones lineales
3x-5y=5
7x+2y=75​

Answer 1

$3x - 5y = 5 \\ 7x + 2y = 75 \\ \\ 3x = 5 + 5y \\ x = \frac{5(1 + y)}{3} \\ \\ 7( \frac{5(1 + y)}{3} ) + 2y = 75 \\ \\ \frac{35 + 35y}{3} + 2y = 75 \\ \frac{35 + 35y + 6y}{3} = 75 \\ 35 + 41y = 225 \\ 41y = 225 - 35 \\ 41y = 190 \\ y = \frac{190}{41} \\ \\ \\ x = \frac{5(1 + y)}{3} \\ x = \frac{5 (1 + \frac{190}{41} )}{3} \\ x = \frac{5( \frac{231}{41} )}{ 3} \\ x = \frac{231 \times 5}{3 \times 41} \\ x = \frac{385}{41} \\ \\ \\ soluvion \: al \: sistema \: 2 \times 2 \: es \\ \\ x = \frac{385}{41} \: \: y = \frac{190}{41}$