Question

Solve:
2x + 3y = 7 ; 3x - y = 5
by elimination method...​

Answer 1

Answer:

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Answer 2

$\tt \huge{\underline{ \underline{Answer :}}}$

$2x+3y=7.............(1) \\ 3x-y=5..............(2) \: \:$

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$2x+3y=7.............(1) \times 1 \\ 3x-y=5..............(2) \times 3 \: \:$

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$2x + 3y = 7 \\ 9x - 3y = 15$

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$2x + 3y = 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\\ 9x - 3y = 15 \: \: \: ( + ) \: \: \: \: \: \: \: \: \:$

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$11x = 22$

$x = \frac{22}{11} \\ x = 2 \: \:$

Substitute x=2 in (1)

$2(2) + 3y = 7 \\ 4 + 3y = 7 \\ 3y = 7 - 4 \\ 3y = 3 \\ y = \frac{3}{3} \\ y = 1$

$\large \bold{ \boxed{x = 2 \: : \: y = 1}}$

$\\ \\ \purple{\bf{Hope \: \: this \: \: helps \: \: you \: !}}$