Answer:
500
Step-by-step explanation:
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Answer:
x = 13 ,y = 60
Step-by-step explanation:
Solve the following system:
{2 x + 6 y = 386 | (equation 1)
4 x + 4 y = 292 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 4 y = 292 | (equation 1)
2 x + 6 y = 386 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 4 y = 292 | (equation 1)
0 x+4 y = 240 | (equation 2)
Divide equation 1 by 4:
{x + y = 73 | (equation 1)
0 x+4 y = 240 | (equation 2)
Divide equation 2 by 4:
{x + y = 73 | (equation 1)
0 x+y = 60 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = 13 | (equation 1)
0 x+y = 60 | (equation 2)
Collect results:
Answer: {x = 13 ,y = 60



Since a negative times a positive makes a negative you can change your equation to 7 - 5n=42. You can now subtract 7 from both sides to get -5n = 35. Next get divide -5 on both sides giving you n = -7.
Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
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<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
Answer:
we have to find the quotient and the remainder when (x³ + 5x + 3x² + 5x³ + 3) is divided by (x² + 4x + 2) ♥9 dividend = x² + 4x + 2 using Euclid division lemma, x² + 4x + 2) x² + 5x³ + 3x² + 5x + 3(x³ - 4x² + 19x - 65 x² + 4x² + 2x³ - 4x² + 3x² + 3x² - 4x*-16x³8x² 19x³ + 11x² + 5x 19x³ +76x² + 38x -65x²-33x + 3 -65x²-260x - 130 +227x + 133 Therefore the quotient is x² - 4x + 19x - 65 and remainder is 227x + 133