x-3y=1 3x+y=13 РОзвязать систему. Created by 2014Angel. algebra-ru

x-3y=1 3x+y=13 РОзвязать систему...

2014Angel @2014Angel

August 2022 2 3 Report

x-3y=1
3x+y=13
РОзвязать систему

ShirokovP

Verified answer

X = 3y + 1
3(3y + 1) + y = 13

x = 3y + 1
9y + 3 + y = 13 *

*10y = 10
y = 1

x = 4
y = 1

1 votes Thanks 4

ka40000k $\left \{ {{x-3y=1} \atop {3x+y=13}} \right.$
$\left \{{{x=1+3y}\atop {3(1+3y)+y=13}} \right.$
$\left \{ {{x=1+3y} \atop {3+10y=13}} \right.$
$\left \{ {{x=1+3y} \atop {10y=10}} \right.$
$\left \{ {{x=1+3y} \atop {y=1}} \right.$
$x=1+3y=1+3*1=4$
Ответ: x=4; y=1

1 votes Thanks 2

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