Explicación paso a paso:
15x – y = 40 ... 1
18x – 8y = 236 ... 2
1 • 8: 120x – 8y = 320 ... 1'
1' – 2: 102x = 84
x = 84 / 102
x = 14 / 17
Reemplazando x = 14 / 17, en 1.
15 • 14 / 17 – y = 40
210 / 17 – y = 40
y = 210 / 17 – 40
y = 210 / 17 – 680 / 17
y = – 470 / 17
36x – 11y = – 12 ... 1
24x – 17y = 10 ... 2
1 ÷ 3: 12x – 11 / 3y = – 4 ... 1'
1' • 2: 24x – 22 / 3y = – 8 ... 1''
2 – 1'': – 51 / 3y + 22 / 3y = 18
– 29 / 3y = 18
29y = 18 • (– 3)
29y = – 54
y = – 54 / 29
Reemplazando y = – 54 / 29, en 2.
24x – 17 • (– 54 / 29) = 10
24x + 918 / 29 = 10
24x = 290 / 29 – 918 / 29
24x = – 628 / 29
x = – 628 / 29 ÷ 24
x = – 628 / 29 • 1 / 24
x = – 157 / 29 • 1 / 6
x = – 157 / 174
