Question
Solve for x and y:
2x - y + 3 = 0,
3x - 7y + 10 = 0
2x - y + 3 = 0,
3x - 7y + 10 = 0
✓
Answer
2x - y + 3 = 0
⇒ 2x - y = - 3 ...(i)
3x - 7y + 10 = 0
⇒ 3x - 7y = 10 ...(ii)
Multiply (i) by -7 and add it to (ii).
-14x + 7y = 21 and 3x - 7y = -10
⇒ -11x = 11
⇒ x = -1
Substituting x = 1 in (i), we get y = 1
So, x = -1 and y = 1
⇒ 2x - y = - 3 ...(i)
3x - 7y + 10 = 0
⇒ 3x - 7y = 10 ...(ii)
Multiply (i) by -7 and add it to (ii).
-14x + 7y = 21 and 3x - 7y = -10
⇒ -11x = 11
⇒ x = -1
Substituting x = 1 in (i), we get y = 1
So, x = -1 and y = 1
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