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Soloha48 [4]
3 years ago
14

Simplify the following expression 6X2 plus 8X -3 minus 3X2-6

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0

Answer:

-24

Step-by-step explanation:

I´m guessing by the big x sign you want me to multiply so the first step in the equation is to multiply because of PEMDAS so(6*2)+(8*-3)-3*2-6,

so 6*2=12,8*-3=-24,-3*2=-6

12+-24-6-6,

12-24=-12,-6+-6=-12

-12+-12=-24

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Answer:

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Distribute

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1:

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4:

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from law of indices:

\frac{a {}^{n} }{ {a}^{m} }  =  {a}^{(n - m) }  \\

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Solve the following system:{2 x + y + 5 z = 11 | (equation 1)22 x + 6 y + 8 z = 56 | (equation 2)x + 8 y + 40 z = 9 | (equation 3)
Swap equation 1 with equation 2:{22 x + 6 y + 8 z = 56 | (equation 1)2 x + y + 5 z = 11 | (equation 2)x + 8 y + 40 z = 9 | (equation 3)
Subtract 1/11 × (equation 1) from equation 2:{22 x + 6 y + 8 z = 56 | (equation 1)0 x+(5 y)/11 + (47 z)/11 = 65/11 | (equation 2)x + 8 y + 40 z = 9 | (equation 3)
Divide equation 1 by 2:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+(5 y)/11 + (47 z)/11 = 65/11 | (equation 2)x + 8 y + 40 z = 9 | (equation 3)
Multiply equation 2 by 11:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+5 y + 47 z = 65 | (equation 2)x + 8 y + 40 z = 9 | (equation 3)
Subtract 1/11 × (equation 1) from equation 3:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+5 y + 47 z = 65 | (equation 2)0 x+(85 y)/11 + (436 z)/11 = 71/11 | (equation 3)
Multiply equation 3 by 11:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+5 y + 47 z = 65 | (equation 2)0 x+85 y + 436 z = 71 | (equation 3)
Swap equation 2 with equation 3:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+85 y + 436 z = 71 | (equation 2)0 x+5 y + 47 z = 65 | (equation 3)
Subtract 1/17 × (equation 2) from equation 3:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+85 y + 436 z = 71 | (equation 2)0 x+0 y+(363 z)/17 = 1034/17 | (equation 3)
Multiply equation 3 by 17/11:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+85 y + 436 z = 71 | (equation 2)0 x+0 y+33 z = 94 | (equation 3)
Divide equation 3 by 33:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+85 y + 436 z = 71 | (equation 2)0 x+0 y+z = 94/33 | (equation 3)
Subtract 436 × (equation 3) from equation 2:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+85 y+0 z = (-38641)/33 | (equation 2)0 x+0 y+z = 94/33 | (equation 3)
Divide equation 2 by 85:{11 x + 3 y + 4 z = 28 | (equation 1)0 x+y+0 z = (-2273)/165 | (equation 2)0 x+0 y+z = 94/33 | (equation 3)
Subtract 3 × (equation 2) from equation 1:{11 x + 0 y+4 z = 3813/55 | (equation 1)0 x+y+0 z = -2273/165 | (equation 2)0 x+0 y+z = 94/33 | (equation 3)
Subtract 4 × (equation 3) from equation 1:{11 x+0 y+0 z = 869/15 | (equation 1)0 x+y+0 z = -2273/165 | (equation 2)0 x+0 y+z = 94/33 | (equation 3)
Divide equation 1 by 11:{x+0 y+0 z = 79/15 | (equation 1)0 x+y+0 z = -2273/165 | (equation 2)0 x+0 y+z = 94/33 | (equation 3)
Collect results:Answer: {x = 79/15               y = -2273/165               z = 94/33


Please note the { are supposed to span over all equations but it interfaces doeans allow it. Please see attachment for clarification.

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