Answer:
x = 3; y = 2
Step-by-step explanation:
x + y = 5
y = 2x - 4
<em>Isolate the y in the first equation</em>
y = 5 - x
y = 2x - 4
<em>Substitute the values</em>
5 - x = 2x - 4
<em>Isolate the Variable</em>
9 = 3x
<em>Simplify</em>
3 = x
<em>Plug that into the first equation</em>
3 + y = 5
<em>Subtract 3 from both sides</em>
y = 2
Using a system of equations, it is found that Ajay is 25 years old today.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Wale was twice as old as Ajay 10 years back, hence:
Wale will be 40 years old in 10 years, hence:
Then, Ajay's present age is found as follows.
You can learn more about system of equations at brainly.com/question/14183076
Answer:
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Step-by-step explanation:
1) we know that
m∠x=m∠z -----> by alternate interior angles
m∠x+58°=180° ----> by supplementary angles (form a linear pair)
m∠x=180°-58°=22°
therefore
m∠z=22°
2) m∠z+58°=180° ----> by same side interior angles
solve for z
m∠z=180°-58°=122°
therefore
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
In this question, we are given a matrix, and we have to perform the given operation.
The matrix is:
![\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-1%26%7C5%5C%5C1%26-5%26%7C0%5Cend%7Barray%7D%5Cright%5D)
The following operation is given:
In which 
is the element at the first line and 
is the element at the second line.
Updating the first line:
Thus, the filled matrix will be given by:
![\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2629%26%7C5%5C%5C1%26-5%26%7C0%5Cend%7Barray%7D%5Cright%5D)
For another example where row operations are applied on a matrix, you can check brainly.com/question/18546657
Answer in fraction form: 5/8
Answer in decimal form: 0.625
==============================================
Explanation:
There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6
Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4
Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8
The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)
Note: the multiplication of probabilities works because the two events (of rolling each die) are independent
