If a=3/6 and b=-3/-5 find -3a+4b
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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
<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels m miles and is on a trip for x days then Rita will receive:
55x + 0.45m dollars.
Rita drove 300 miles, means that m=300. Thus </span>55x + 0.45m becomes <span>
</span>
(dollars.)
She was reimbursed $2,335 means that
.
Part A:.
Part B:
We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:
55x=2,335-135=2,200.
Dividing both sides by 55, we get: x=2,200/55=40.
Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.
55x + 0.45m dollars.
Rita drove 300 miles, means that m=300. Thus </span>55x + 0.45m becomes <span>
</span>
She was reimbursed $2,335 means that
Part A:
Part B:
We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:
55x=2,335-135=2,200.
Dividing both sides by 55, we get: x=2,200/55=40.
Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.