Question

ayudenme en esto porfavor en metodo de igualacion: 4x+5y=5 -4x-10y=-7

Answer 1

Respuesta:

x=3/4

y=2/5

Explicación paso a paso:

$4x+5y=5\\-4x-10y=-7\\\\4x+5y=5\\4x=5-5y\\x=\frac{5-5y}{4}\\\\-4x-10y=-7\\4x+10y=7\\4x=7-10y\\x=\frac{7-10y}{4}\\ \\\frac{5-5y}{4}=\frac{7-10y}{4}\\5-5y=7-10y\\5-7=-10y+5y\\-2=-5y\\5y=2\\y=2/5\\\\4x+5y=5\\4x+5(\frac{2}{5})=5\\ 4x+2=5\\4x=5-2\\4x=3\\x=3/4\\\\comprobacion\\4x+5y=5\\4(\frac{3}{4} )+5(\frac{2}{5})=3+2=5\\\\-4x-10y=-7\\-4(\frac{3}{4} )-10(\frac{2}{5})=-3-4=-7$