On Monday, the temperature dropped -30 degrees Fahrenheit from 1:00 pm to 7:00 pm. If the temperature change was the same every
1 answer:
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Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
Now let us solve for x.
Now let us substitute in 7x (amount of money that Egil gets).
Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.
Option A and B are correct.
Step-by-step explanation:
We are given the following systems of equation:
We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.
Checking the options:
a) Multiply the second equation by −2 to get −8x − 6y = −30
If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.
b) Multiply the first equation by 2 to get 4x + 12y = 24.
If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.
c) Multiply the second equation by −4 to get −16x − 12y = −60
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
d) Multiply the first equation by −4 to get −8x − 24y = −48.
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
So, Option A and B are correct.
Keywords: Solve System of equations
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