Question

solve the equation by comparison method
3x-2y=2
7x+3y=43​​

Answer 1

Answer:

$expressing \: the \: equations \: in \: term \: of \: one \: variable \\ 3x - 2y = 2 \\ x = 2 +\frac{2 + 2y}{3} .......(1) \\ 7x + 3y = 43 \\ x = \frac{43 - 3y}{7}.......(2) \\ by \: comparing \: equation \: (1) \: and \: (2) \\\frac{2 + 2y}{3} = \frac{43 - 3y}{7} \\ = 14y + 14 = 129 - 9y \\ = > 23y = 115 \\ y = > 5........(3) \\ by \: using \: (3) \: in \: (1) \\ = > x = \frac{2 + 2y}{3} \\ = > \frac{2 + 2 \times 5}{3} \\ = > x = 4$

Step-by-step explanation:

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