Question

5x-4y=2
2x+3y=17/4

metodo determinantes

Answer 1

5X - 4Y = 2

2X + 3Y = 17/4

hallamos el determinante

$\left[\begin{array}{ccc}5&-4\\2&3\\\end{array}\right] =23$

Δ=23

Reemplazamos para hallar ΔX

$\left[\begin{array}{ccc}2&-4\\17/4&3\\\end{array}\right] =23$

ΔX = 1: 

Hallamos X = ΔX/Δ = 23/23 = 1

Ahora Hallamos ΔY

 $\left[\begin{array}{ccc}5&2\\2&17/4\\\end{array}\right]=69/4$

ΔY = 69/4

Y =ΔY/Δ = (69/4)/23 = 3/4

Rta: X = 1;   Y = 3/4