Respuesta :

The solution for (x,y) is (2.38,5).

Step-by-step explanation:

Equation 1: -13x + 11y = -29

Equation 2: 52x + 2y = 114

Multiply equation 1 by 4

Equation 1: -13x(4) + 11y(4) = -29(4)

--------------> -52x + 44y = -116

Cancel x and find the value of y

Equation 1: -52x + 44y = -116

Equation 2: 52x + 2y = -114

-52x+52x+44y+2y = -116-114

46y = -230

y = [tex]\frac{-230}{46}[/tex]

y = 5

Put the value of y in any one equation to find x

52x + 2(5) = -114

52x = -114-10

52x = -124

x = [tex]\frac{-124}{52}[/tex]

x = 2.38

Therefore, the solution for (x,y) is (2.38,5).

Keyword: solution

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