Respuesta :

PunIntended

Answer:

(5, 2)

Step-by-step explanation:

We have hte equations:

3x - 2y = 11

x + 2y = 9

Solving by substituting simply means writing one variable in terms of the other, plugging that into the other equation, and then solving.

x + 2y = 9

x = 9 - 2y

Plug in 9 - 2y for x in the first equation:

3x - 2y = 11

3 * (9 - 2y) - 2y = 11

27 - 6y - 2y = 11

27 - 8y = 11

16 = 8y

y = 2

Use this to find x:

x = 9 - 2y = 9 - 2 * 2 = 9 - 4 = 5

The solution is (5, 2).

Step-by-step explanation:

[tex]3x - 2y = 11 \\ 3x= 11 + 2y \\ x = \frac{11 + 2y}{3} ...........equation(i) \\ x + 2y = 9.......given \\ x = 9 - 2y .......equatiom(ii) \\ 9 - 2y = \frac{11 + 2y}{3} ......from \: equation \: i \: and \: ii \\ 27 - 6y = 11 + 2y \\ 16 = 8y \\ y = 2 \\ x = 5....putting \: the \: vaue \: of \: \: in \: equationi[/tex]

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