Q. 17

# Solve each of the following systems of equations using matrix method.3X + 4y + 7z = 4;2x – y + 3z = - 3;x + 2y – 3z = 8.

To find: - x , y , z

Given set of lines are : -

3X + 4y + 7z = 4;

2x – y + 3z = - 3;

x + 2y – 3z = 8

Converting the following equations in matrix form,

AX = B

3R2 – 2R1

3R3 – R1

11R3 + 2R2

Again converting into equations we get

3x + 4y + 7z = 4

- 11y - 5z = - 17

- 186z = 186

Z = - 1

- 11y + 5 = - 17

- 11y = - 22

Y = 2

3x + 4×2 + 7× - 1 = 4

3x = 4 - 8 + 7

X = 1

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