Step-by-step explanation:

Take the L.C.M of 2 & 5. It's ' 10 '. Firstly find out the factors of 2 [ i.e 1 × 2 ] and then secondly find out the factors of 5 [ i.e 1 × 5 ]. Now , Note that while finding L.C.M of any numbers, Common numbers & Remaining numbers must be multiplied. In our case , common number = 1 & Remaining numbers are 2 & 5. Multiply them : [ 1 × 2 × 5 = 10 ].
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Subtract 2x from 5x :
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Apply cross product property :
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Here, We have to think about how to remove the coefficient 3. For that , Divide both sides of the equation by 3.
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Answer: See answer in the attached file
Step-by-step explanation:
6[pails] * 4[kg] = 24[kg]
The total mass of the sand in the pails is 24 kg.
According to the system:
5 – 7x + 2y² = -10
1 – 5x – 2y = -22
______________
a) No ; (4, 6) is not a solution to the
system. This point does not touch either equation.
b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.
Solutions:

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086
y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715