Question

pelo metodo da substituição resolva a) 2x+3y=16 e 5x-3y=19 e b) 4x+5y=26 e 6x-11y=2

Answer 1

a) 2x+3y=16 (2)
>>5x-3y=19 (2)

4x + 6y = 32
10x - 6y = 38
__________
14x=70
x=70/14
x=5

2x+3y=16
2(10)+3y=16
20+3y=16
3y=16-20
3y=-4
y=-4/3x

B) 4x + 5y = 26 (6)
>>>6x - 11y = 2 (- 4)

24x+30y=156
-24x+44y=-8
___________
>>>> 74y=156
>>>> y=156/74
>>>> y=2

4x+5y=26
4x+5(2)=26
4x+10=26
4x=26-10
4x=16
x=16/4
x=4