Question

10x - 26y=-38
6x + 13y=28

Answer 1

`\displaystyle [(9)/(11), 1(111)/(143)]`

Explanation:

{10x - 26y = −38

{6x + 13y = 28

½[10x - 26y = −38]

{5x - 13y = −19 >> New Equation

{6x + 13y = 28

___________

`\displaystyle (11x)/(11) = (9)/(11)`

`\displaystyle x = (9)/(11)`[Plug this back into both equations above to get the y-coordinate of 1 111⁄143];
`\displaystyle 1(111)/(143) = y`

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