Question

Como resolver a conta { 2x+3y/5 =10 -y/3
4y-3x/6 =3x/4+1?

Answer 1

Boa tarde MariaGabriela

2x + 3y/5 = 10 - y/3
2x + 3y/5 + y/3 = 10 
2x + 9y/15 + 5y/15 = 10
2x + 14y/15 = 10
30x/15 + 14y/15 = 150/15
30x + 14y = 150 
15x + 7y = 75 

4y - 3x/6 = 3x/4 + 1
4y - x/2 - 3x/4 = 1
4y - 2x/4 - 3x/4 = 1
16y/4 - 5x/4 = 4/4
16y - 5x = 4

sistema
15x + 7y = 75 
-5x + 16y = 4
-15x + 48y = 12

55y = 87
y = 87/55 

55*15x/55 + 7*87/55 = 75*55/55

825x + 609 = 4125 
825x = 4125 - 609 
825x = 3516 

x = 1172/275