Which statement correctly explains how Mari should find a solution to the following system of linear equations using elimination
2 answers:
ANSWER
The correct answer is A.
EXPLANATION
The given systems of equations are
If we multiply the first equation by 7 we get,
If we multiply the
Adding equation (3) and (4) gives,
We can see that f has been eliminated from the equation, and hence we can find g and use it to find f.
However, if we multiply the first equation by 3 and the second equation by 5, and then subtract, none of the variables will be eliminated.
Also, if we multiply the first equation by –7 and the second equation by 2, and then add, neither f nor g will be eliminated.
The same thing applies to multiplying the first equation by –3 and the second equation by 5, and then adding will not eliminate any of the variables.
The correct answer is A.
EXPLANATION
The given systems of equations are
If we multiply the first equation by 7 we get,
If we multiply the
Adding equation (3) and (4) gives,
We can see that f has been eliminated from the equation, and hence we can find g and use it to find f.
However, if we multiply the first equation by 3 and the second equation by 5, and then subtract, none of the variables will be eliminated.
Also, if we multiply the first equation by –7 and the second equation by 2, and then add, neither f nor g will be eliminated.
The same thing applies to multiplying the first equation by –3 and the second equation by 5, and then adding will not eliminate any of the variables.
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Answer:
pounds
Step-by-step explanation:
Each person will eat 1/3 pound of chicken, and there are 8 people. So, we want eight 1/3 pounds. We can write this as an addition problem:
1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3
This addition problem is equivalent to the multiplication problem: 8 * (1/3)
Both will yield the same result: 8/3 pounds = pounds, and that's the answer.
Hope that helps!