Método de sustitución
5x+3y=5 4x+7y=27
Respuestas a la pregunta
Respuesta:
5x + 3y = 5
x - y = 0
x =
5
8
(x = 0.625)
y =
5
8
(y = 0.625)
Solución:
5x + 3y = 5
x - y = 0
5x = 5 - 3y
x =
5 - 3y
5
x - y = 0
5 - 3y
5
- y = 0
( - 3y + 5) ÷ 5 - y = 0
( -
3
5
y + 1) - y = 0
-
8
5
y + 1 = 0
-
8
5
y + 1 = 0 | * 5
- 8y + 5 = 0
- 8y = - 5
y =
5
8
(y = 0.625)
x =
5 - 3y
5
x = (5 - 3(
5
8
)) ÷ 5
x = (5 - 3 * (
5
8
)) ÷ 5
x = (5 -
15
8
) ÷ 5
x = (
25
8
) ÷ 5
x =
5
8
(x = 0.625)
Explicación paso a paso:
4x + 7y = 27
x - y = 0
x =
27
11
= 2
5
11
(x = 2.45454545)
y =
27
11
= 2
5
11
(y = 2.4545455)
Solución:
4x + 7y = 27
x - y = 0
4x = 27 - 7y
x =
27 - 7y
4
x - y = 0
27 - 7y
4
- y = 0
( - 7y + 27) ÷ 4 - y = 0
( -
7
4
y +
27
4
) - y = 0
-
11
4
y +
27
4
= 0
-
11
4
y +
27
4
= 0 | * 4
- 11y + 27 = 0
- 11y = - 27
y =
27
11
= 2
5
11
(y = 2.4545455)
x =
27 - 7y
4
x = (27 - 7(
27
11
)) ÷ 4
x = (27 - 7 * (
27
11
)) ÷ 4
x = (27 -
189
11
) ÷ 4
x = (
108
11
) ÷ 4
x =
27
11
= 2
5
11
(x = 2.45454545)
espero que te resulte me sigues porfa