nas to pay Income tax tax 01 3) By equating coefficients of variables, solve the following equations. 3 x - 4y = 7; 5x + 2y = 3 - Tan
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Step-by-step explanation:
Let 3x - 4y = 7--------eq ( 1 ) and
5x + 2y = 3--------eq ( 2 )
By equating coefficients of variables,
Multiplying eq ( 1 ) by 2 and eq ( 2 ) by 4 ,we get
2 × [ 3x - 4y = 7 ] ⇒ 6x - 8y = 14--------eq ( 3 ) say. and
4 × [ 5x + 2y = 3 ] ⇒ 20x + 8y = 12------eq ( 4 ) say.
Now adding eq ( 3 )+ eq ( 4 ) ,we get
6x - 8y + 20x + 8y = 14 + 12
⇒ 26x = 26
⇒ x = 26 / 26
⇒ x = 1.
On substituting " x = 1 " in eq ( 1 ) ,we have
3 ( 1 ) - 4y = 7
⇒3 - 4y = 7
⇒ - 4y = 7 - 3
⇒ - 4y = 4
⇒ y = 4 / (- 4 )
⇒ y = - 1.
∴The variables of xand y are 1 and - 1 is the answer.
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