3x+2y+2z=3
x+2y-+z=5
2x-4y+z=0
1 answer:
3x + 2y + 2z = 3 ⇒ 3x + 2y + 2z = 3
1x + 2y - 1z = 5 ⇒ <u>1x + 2y - 1z = 5</u>
2x - 4y + 1z = 0 4x + 4y + 1z = 8
4x + 4y + 1z = 8 ⇒ 12x + 12y + 3z = 24
3x + 2y + 2z = 3 3x - 2y = 5 ⇒ <u>12x - 8y = 20</u>
1x + 2y - 1z = 5 ⇒ 1x + 2y - 1z = 5 20y + 3z = 4
2x - 4y + 1z = 0 ⇒ <u>2x - 4y + 1z = 0</u> 20y - 20y + 3z = 4 - 20y
3x - 2y = 5 <u>3z</u> = <u>4 - 20y</u>
3 3
z = 1¹/₃ - 6²/₃y
20y + 3(1¹/₃ - 6²/₃y) = 4
20y + 4 - 20y = 4
20y - 20y + 4 = 4
0y + 4 = 4
<u> - 4 - 4</u>
<u>0y</u> = <u>0</u>
0 0
y = 0
20(0) + 3z = 4
0 + 3z = 4
<u>3z</u> = <u>4</u>
3 3
z = 1¹/₃
4x + 4(0) + 1¹/₃ = 8
4x + 0 + 1¹/₃ = 8
4x + 1¹/₃ = 8
<u> - 1¹/₃ - 1¹/₃
</u> <u>4x</u> = <u>6²/₃</u> 4 4<u>
</u> x = 1²/₃
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