Solve for x and y: 3x - 5y - 19 = 0, -7x + 3y + 1 = 0 - Vidyadip

Question

Solve for x and y:
3x - 5y - 19 = 0,
-7x + 3y + 1 = 0

✓

Answer

The given equation are: 3x - 5y - 19 = 0 ...(1) -7x + 3y + 1 = 0 ...(2) On multiplying (1) by 3 and (2) by 5, we get: 9x - 15y = 57 ...(3) -35x + 15y = -5 ...(4) On adding (3) and (4), we get: -26x = 52⇒ x = -2
On substituting the value of x = -2 in (1), we get: 3 × (-2) - 5y = 19⇒ -6 - 5y = 19
-5y = 19 + 6
⇒ -5y = 25 y = -5 $\therefore$ Solution is x = -2 and y = -5

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