Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
![4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\](https://tex.z-dn.net/?f=4%285x%2B2y%3D25%29%5C%5C20x%2B8y%3D100%5C%20%5C%20%5C%20Eqn%5C%203%5C%5C)
Subtracting Eqn 1 from Eqn 3
![(20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12](https://tex.z-dn.net/?f=%2820x%2B8y%29-%2812x%2B8y%29%3D100-88%5C%5C20x%2B8y-12x-8y%3D12%5C%5C8x%3D12)
Dividing both sides by 8
![\frac{8x}{8}=\frac{12}{8}\\x=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B8%7D%3D%5Cfrac%7B12%7D%7B8%7D%5C%5Cx%3D1.5)
Putting x=1.5 in Eqn 1
![12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70](https://tex.z-dn.net/?f=12%281.5%29%2B8y%3D88%5C%5C18%2B8y%3D88%5C%5C8y%3D88-18%5C%5C8y%3D70)
Dividing both sides by 8
![\frac{8y}{8}=\frac{70}{8}\\y=8.75](https://tex.z-dn.net/?f=%5Cfrac%7B8y%7D%7B8%7D%3D%5Cfrac%7B70%7D%7B8%7D%5C%5Cy%3D8.75)
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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Since one gallon is equal to 8 pints, 16 pints would equal to 2 gallons.
Answer:
-1 infinite
Step-by-step explanation:
Step-by-step explanation:
![(7 \: + \: \sqrt{6} ) ^{2}](https://tex.z-dn.net/?f=%287%20%5C%3A%20%20%2B%20%20%5C%3A%20%20%5Csqrt%7B6%7D%20%29%20%5E%7B2%7D%20)
![(7 + \sqrt{6)} (7 + \sqrt{6} )](https://tex.z-dn.net/?f=%287%20%20%2B%20%20%5Csqrt%7B6%29%7D%20%287%20%2B%20%20%5Csqrt%7B6%7D%20%29)
![49 + 14 \sqrt{6} + 6](https://tex.z-dn.net/?f=49%20%2B%2014%20%5Csqrt%7B6%7D%20%20%2B%206)
![55 + 14 \sqrt{6}](https://tex.z-dn.net/?f=55%20%2B%2014%20%5Csqrt%7B6%7D%20)