Heather has divided $5900 between two investments, one paying 9%, the other paying 4%. if the return on her investment is $3
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QUESTION 4
The given system of linear equations are,
and
We put equation (1) into equation (2) to obtain,
We expand to get,
Group like terms to get,
Simplify to get,
Divide both sides by -13 to get,
Put the value of x into equation (1) to get,
The solution is
QUESTION 5
The given system of linear equations are
and
We make y the subject in equation (1) to get,
Put equation (3) into equation (2) to get,
We expand to get,
We group like terms to get,
This implies that,
We divide both sides by -9 to get,
Put the value of x in to equation 3 to get,
Therefore the solution is
QUESTION 6
The given equations are,
and
Make x the subject in equation (2) to get,
Put equation (3) into equation (1) to get,
We expand to get,
We group like terms to obtain,
.Simplify to get,
Divide through by -16 to get,
Put the value of y into equation (3) to get,
Therefore
The given system of linear equations are,
and
We put equation (1) into equation (2) to obtain,
We expand to get,
Group like terms to get,
Simplify to get,
Divide both sides by -13 to get,
Put the value of x into equation (1) to get,
The solution is
QUESTION 5
The given system of linear equations are
and
We make y the subject in equation (1) to get,
Put equation (3) into equation (2) to get,
We expand to get,
We group like terms to get,
This implies that,
We divide both sides by -9 to get,
Put the value of x in to equation 3 to get,
Therefore the solution is
QUESTION 6
The given equations are,
and
Make x the subject in equation (2) to get,
Put equation (3) into equation (1) to get,
We expand to get,
We group like terms to obtain,
.Simplify to get,
Divide through by -16 to get,
Put the value of y into equation (3) to get,
Therefore