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.
You might be interested in
Given:
The figure of a rhombus.
To find:
The value of x.
Solution:
We know that, if two lines intersect each other, then the vertically opposite angles are equal.
From the given figure it is clear that the diagonals intersect each other and construct two pairs of vertically opposite angles.
Since and
are vertically opposite angles, therefore
Hence, the value of x is 95°.