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4x – 2y + 3z = 9 x-2y=-32x+3y=1

User Berkan Ercan
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1 Answer

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20 votes
Answer:

x = -1, y = 1, z = 5

Explanations:

The given equations are:

4x - 2y + 3z = 9..................(1)

x - 2y = - 3............................(2)

2x + 3y = 1............................(3)

Make x the subject of the formula from equation (2)

x - 2y = -3

x = 2y - 3.....................................(4)

Substitute equation (4) into equation (3)

2(2y - 3) + 3y = 1

4y - 6 + 3y = 1

7y = 1 + 6

7y = 7

y = 7 / 7

y = 1

Substitute y = 1 into equation (4)

x = 2(1) - 3

x = 2 - 3

x = -1

Substitute the values of x and y into equation (1)

4x - 2y + 3z = 9

4(-1) - 2(1) + 3z = 9

-4 - 2 + 3z = 9

-6 + 3z = 9

3z = 9 + 6

3z = 15

z = 15 / 3

z = 5

User Lithium
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