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X+Y=5, 2x-3y=4 solve by elimination and …

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X+Y=5, 2x-3y=4 solve by elimination and substitution method
  • 2 answers

Vaishali Wani 6 years, 4 months ago

Thanks it really helped me

Yogita Ingle 6 years, 4 months ago

By elimination method
x + y =5          ……….(1)
2x –3y = 4      ………(2)
Multiplying equation (1) by 2, we obtain
2x + 2y = 10   ………..(3)
2x –3y = 4      ………(2)
Subtracting equation (2) from equation (3), we obtain
5y = 6
y = 6/5
Substituting the value in equation (1), we obtain
x = 5  - (6/5)   = 19/5
So our answer is x = 19/5 and y = 6/5

By substitution method
x + y =5          ……….(1)
subtract y both side we get
x = 5 - y          ……..,(4)
plug the value of x in equation second we get
2(5 – y ) – 3y  = 4
-5y = - 6
y = -6/-5 = 6/5
Plug the value of y in equation 4 we get
x  = 5 – 6/5
x   = 19/5

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