salima3oma salima3oma

01-02-2017
Mathematics

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{2x+5y=26} {3x+4y=26}

2x5y26 3x4y26 class=

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texaschic101 texaschic101

01-02-2017

2x + 5y = 26....multiply by 3
3x + 4y = 26...multiply by -2
------------------
6x + 15y = 78 (result of multiplying by 3)
-6x - 8y = - 52 (result of multiplying by -2)
-----------------add
7y = 26
y = 26/7 (or 3 5/7)

2x + 5y = 26
2x + 5(26/7) = 26
2x + 130/7 = 26
2x = 26 - 130/7
2x = 182/7 - 130/7
2x = 52/7
x = 52/7 * 1/2
x = 52/14 which reduces to 26/7 (or 1 5/7)

solution is : (26/7, 26/7)

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