Question

55x + 2 y =23 113x + 3y = 51

Answer 1

Answer:

$[\frac{33}{61}, -3\frac{23}{61}]$

Step-by-step explanation:

{55x + 2y = 23

{113x + 3y = 51

−55⁄113[113x + 3y = 51]

{55x + 2y = 23

{−55x - 1 52⁄113y = −24 93⁄113 >> New Equation

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61⁄113y = −1 93⁄113

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61⁄113 61⁄113

$-3\frac{23}{61} = y$ [Plug this back into both equations above to get the x-coordinate of 33⁄61]; $\frac{33}{61} = x$

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