Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
You can determine if two numbers are equal if they have the same value. (4 are 4 are equal) (4 and 5 are not equal). You can determine if two expressions are equal by solving them. If the answers are of an equal value, they are equal. (4+5 and 6+3 are equal because they both work out to be 9) (4+5 and 5+5 are not equal because they work out to be 9 and 10.)
~Crutchie
p.s. The mathmatical term for "equal" is <em>equivilent. </em>As in <em>equivilent expressions</em> or <em>equivilent numbers</em>.
p.p.s. The mathmatical term for "numbers" are <em>integers</em>. As in <em>the diffrence between the integers </em>or <em>equivilent integers.</em>
Answer:
3
which is approx 6.71
Step-by-step explanation:
=
·
= 3
Answer:
The answer is 2 hours later.
Step-by-step explanation:
In order to find how many hours you and your friend meet, you have to solve the equation to find h :




