Solve for x and y: 2x - 3y = 13, 7x - 2y = 20 - Vidyadip

Question

Solve for x and y:
2x - 3y = 13,
7x - 2y = 20

✓

Answer

The given equation are: 2x - 3y = 13 ...(1) 7x - 2y = 20 ...(2) On multiplying (1) by 2 and (2) by 3, we get: 4x - 6y = 26 ...(3) 21x - 6y = 60 ...(4) On subtracting (3) and (4), we get: 17x = 34 x = 2 On substituting the value of x = 2 in (1), we get: 2 × 2 - 3y = 13⇒ 4 - 3y = 13
-3y = 13 - 4
⇒ -3y = 9 y = -3 $\therefore$ Solution is x = 2 and y = -3

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