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What is the solution for this system of equations? -x + 2y = 10 1-3x + 6y = 11 (-5,2) no solution 15.-2) infinite solutions

User Joaolvcm
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1 Answer

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19 votes

Given two simultaneous linear equation

- x + 2y = 10 ------------1

- 3x + 6y = 11 ------------2

This can be solved using three different method, substitution, elimination and graphical methods

I will use substitution method

make x subject of the formular in equation 1

-x + 2y = 10

2y = 10 + x

x = 2y -10

substitute x = 2y - 10 in equation 2

-3x + 6y = 11

-3(2y - 10) + 6y = 11

remove the bracket

-6y + 30 + 6y = 11

-6y+6y = 11 - 30

0 = -19

thus since y is gone, there is no solution

Second option is the answer

User Amr Berag
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