using cartesian product, if (2x+3y,3)=(5,4x-y), find x and y.
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Answer: x = y = 1
Step-by-step explanation:
Given that , (2x+3y, 3) = (5, 4x-y)
∴ We get,
2x + 3y = 5 ................................(1) &
4x - y = 3 ................................(2)
Multiplying equation (1) with two
(2x + 3y) × 2 = 5 × 2
we get , 4x + 6y = 10 .................(3)
Now subtracting equation (2) from equation (3)
4x + 6y - (4x - y) = 10 - 3
4x + 6y - 4x + y = 7
7y = 7 ie, y = 1
substituting y = 1 in equation (2)
ie, 4x - 1 = 3
ie, 4x = 3 + 1 = 4
ie , x = 4/4 = 1
so we got , x = y = 1
HOPE THIS HELPS.....
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