Question

1. Resolver, pelo método da substituição, o sistema:
3x-4y = 1
2x-3y = 5

Answer 1

Resposta:

y=-13

x=-17

Explicação passo-a-passo:

$\left \{ {{3x-4y=1} \atop {2x-3y=5}} \right. \\3x-4y=1\\3x=1+4y\\x=\frac{1+4y}{3} \\\\2x-3y=5\\2.\frac{1+4y}{3}-3y=5\\\frac{2+8y}{3}-3y=5\\\frac{2+8y-9y}{3}=5\\\frac{2-1y}{3}=5\\2-y=5.3\\2-y=15\\-y=15-2\\-y=13(.-1)\\y=-13$

$x=\frac{1+4y}{3} \\\\x=\frac{1+4.(-13)}{3} \\\\x=\frac{1-52}{3}\\x=\frac{-51}{3}\\x=-17$