Question

5x+2y=14 and 2x+5y=7
then find x+y

Answer 1

Answer:

$5x + 2y = 14......(1) \times 2 \\ 2x + 5y = 7......(2) \times 5\\ 10x + 4y = 28....(3) \\10x + 25y = 35......(4) \\ - \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: - \\ - 21y = - 7$

$21y = 7 \\ y = \frac{7}{21} \\ y = 3$

$put \: value \: y = 3 \: in \: equation \: one \\ 5x + 2y = 14 \\ 5x + 2(3) = 14 \\ 5x + 6 = 14 \\ 5x = 14 - 6 \\ 5x = 8 \\ x = \frac{8}{5}$

Step-by-step explanation:

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