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Solve for X and Y: [(X + Y, X - 4)][(-1, -2),(2, 2)] = [-7, -11] - ICSE Class 10 - Mathematics

Question

Solve for x and y: [(x + y, x - 4)][(-1, -2),(2, 2)] = [-7, -11]

Solution

[(x + y, x - 4)][(-1, -2),(2, 2)] = [(-7, -11)]

[(-x -y + 2x - 8, -2x - 2y + 2x - 8)] = [(-7, -11)]

[(-y + x - 8, -2y - 8)] = [(-7, -11)]

Comparing the corresponding elements, we get

-2y - 8 = -11 =>  -2y = -3 => y = 3/2

-y + x - 8 = -7

=> -3/2 + x - 8 = -7

=> x = 1 + 3/2 = 5/2

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Solution Solve for X and Y: [(X + Y, X - 4)][(-1, -2),(2, 2)] = [-7, -11] Concept: Multiplication of Matrix.
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