To be able to solve equations 3 and 4 by elimination, each equation needs to be multiplied by something, Drag a red number to th
1 answer:
The solution to the equation 3 and 4 by elimination is x = -2 and y = -2
<h3>Simultaneous equation</h3>2x = 3y + 2. (1)
3x = 5y + 4. (2)
- Rewriting the equation
2x - 3y = 2. (3)
3x - 5y = 4 (4)
- Multiply (3) by 3 and (4) by 2
6x - 9y = 6. (5)
6x - 10y = 8. (6)
- subtract (5) from (6) to eliminate x
-10y - (-9y) = 8 - 6
-10y + 9y = 2
-y = 2
y = -2
- substitute y = -2 into (3)
2x - 3y = 2. (3)
2x - 3(-2) = 2
2x + 6 = 2
2x = 2 - 6
2x = - 4
x = -4/2
x = -2
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Answer:
- 39.7%
Explanation:
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<u>1. First find the density of your chain</u>
- Density = mass / volume
- Volume = displaced water volume
= Volume of Final level of water - initial level of water
= 20 ml - 15 ml = 5 ml
- Mass = 66.7 g
- Density = 66.7g / 5 ml = 13.34 g/ml
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<u>2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:</u>
Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.
Calling x the amount of gold, then the amount of other metals is 66.7 - x:
Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:
- (26.47 / 66.7) × 100 = 39.7%