2003
Mathematics
67ca00ce0c643c71d77dee1f
Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0
A.
-5, -4
B.
-4,. -5
C.
4, 5
D.
5, 4
Correct Answer: 5, 4
Explanation
3x - 5y + 5 = 0 → eqn1 4x - 7y + 8 = 0 → eqn2 eqn1 * 4; 12x - 20y + 20 = 0 → eqn3 eqn2 * 3; 12x - 21y + 24 = 0 → eqn4 eqn3 - eqn4 = y - 4 = 0 ∴ y = 4 From eqn1, 3x - 5y + 5 = 0 3x - 5(4) + 5 = 0 3x - 20 + 5 = 0 3x - 15 = 0 3x = 15 x = 5 x and y = 5, 4 respectively
3x - 5y + 5 = 0 → eqn1 4x - 7y + 8 = 0 → eqn2 eqn1 * 4; 12x - 20y + 20 = 0 → eqn3 eqn2 * 3; 12x - 21y + 24 = 0 → eqn4 eqn3 - eqn4 = y - 4 = 0 ∴ y = 4 From eqn1, 3x - 5y + 5 = 0 3x - 5(4) + 5 = 0 3x - 20 + 5 = 0 3x - 15 = 0 3x = 15 x = 5 x and y = 5, 4 respectivelyTHIS WEEK's
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