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Find the solution of this system of equations.
Separate the x- and y-values with a comma.
X + 12y = 17
x - y = -9
Enter the correct answer.

Respuesta :

Answer:

(-7, 2).

Step-by-step explanation:

x + 12y = 17

x - y = -9

Subtracting:

0 + 13y = 26

y = 2.

Substitute for y in the second equation:

x - 2 = -9

x = -7.

absor201

Answer:

{-7,2}

Step-by-step explanation:

Given

x+12y=17     Eqn 1

x-y=-9          Eqn 2

We will use the substitution method to solve the system of equations. So, from eqn 2:

[tex]x-y=-9\\x=y-9[/tex]

Putting the value of x in equation 1:

[tex](y-9)+12y=17\\y-9+12y=17\\y+12y-9=17\\13y=17+9\\13y=26\\\frac{13y}{13}=\frac{26}{13}\\ y=2[/tex]

Putting the value of y in eqn 2:

[tex]x-2=-9\\x=-9+2\\x=-7\\So,\\Solution set = \{-7,2\}[/tex]

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