How do you solve 25x = (1/125)^(4x-5)
2 answers:
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<u>QUESTION 1</u>
The given system of equation is
and
Let us substitute equation (1) into equation (2) to get,
We expand the bracket to get,
We simplify to get.
We group like terms to get
We now substitute in to equation (1) to obtain,
The correct answer is option A.
<u>QUESTION 2</u>
The given system of equations is
and
We make y the subject in equation (2) to get,
We put equation (3) into equation (1) to obtain,
We group like terms to get,
This implies that,
We divide through by to get,
Hence the x-coordinate is
<u>QUESTION 3</u>
The given system is
and
We make the subject in equation (2) to get,
We put equation (3) into equation (1) to obtain,
We expand the bracket to get,
Group like terms to get,
We simplify to get;
This implies that,
Therefore the y-coordinate is 14.
Call the weights of the two dogs 
and 
.
We know that Tripp weights 35lbs more than Rico, or:
We also know that the total weight of both dogs is 49lbs.:
Now, by substitution:
Rico weighs 7lbs.
Then:
Tripp weighs 42lbs.
To check our work:
CHECK!
We know that Tripp weights 35lbs more than Rico, or:
We also know that the total weight of both dogs is 49lbs.:
Now, by substitution:
Rico weighs 7lbs.
Then:
Tripp weighs 42lbs.
To check our work: