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Find the value of x and y respectively if 3x - ... - JAMB Mathematics 2003 Question

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
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Correct Option: D

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

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