Respuesta :
[tex] \left \{ {{2.4 = .3x + .4y} \atop {5x = 2 + 6y}} \right. [/tex]
5x = 2 + 6y
Divide both sides by 5
x = 6/5y + 2/5
Input in the other equation.
2.4 = .3(6/5y + 2/5) + .4y
2.4 = .36y + .12 + .4y
2.4 = .76y + .12
Subtract .12 from both sides.
2.28 = .76y
Divide both sides by .76
3 = y
x = 6/5(3) + 2/5
x = 18/5 + 2/5
x = 20/5 = 4
(4, 3)
5x = 2 + 6y
Divide both sides by 5
x = 6/5y + 2/5
Input in the other equation.
2.4 = .3(6/5y + 2/5) + .4y
2.4 = .36y + .12 + .4y
2.4 = .76y + .12
Subtract .12 from both sides.
2.28 = .76y
Divide both sides by .76
3 = y
x = 6/5(3) + 2/5
x = 18/5 + 2/5
x = 20/5 = 4
(4, 3)