# Find X And Y, If 2x + 3y = [(2,3),(4,0)] and 3x + 2y = [(2, -1),(-1,5)] - Mathematics

Find and Y, if 2X + 3Y = [(2,3),(4,0)] and 3X + 2Y = [(2, -1),(-1,5)]

#### Solution

2X + 3Y = [(2,-2),(-1,5)] ...(3)

3X + 2Y = [(2,-2),(-1, 5)] ....(4)

Multiplying equation (3) with (2), we get:

2(2X + 3Y) = 2[(2,3),(4,0)]

=> 4X + 6Y = [(4,6),(8,0)]   ....(5)

Multiplying equation (4) with (3), we get:

3(3X + 2Y) = 3[(2,-2),(-1,5)]

=>9X + 6Y = [(6,-6),(-3, 15)] ....(6)

From (5) and (6), we have:

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 7.2 | Page 81