Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
Answer: Undefined
The x coordinates are the same, so a vertical line forms. All vertical lines have undefined slopes.
We can see it through the slope formula
m = (y2-y1)/(x2-x1)
m = (3-(-6))/(2-2)
m = (3+6)/(2-2)
m = 9/0
We cannot divide by zero, so the result is undefined.
The values of x and y are 99 and 343
<h3>The HCF</h3>
The HCF of numbers is the highest common factors of the numbers
<h3>The LCM</h3>
The LCM of numbers is the lowest common multiple of the numbers
The HCF and the LCM are given as:
Multiply the HCF and the LCM
The product of the numbers x and y equals the product of the HCF and the LCM.
So, we have:
<h3>Prime Factors</h3>
Express 33957 as a prime factor
Rewrite the equation as
By comparison:
Hence, the values of x and y are 99 and 343
Read more about HCF and LCM at:
brainly.com/question/420337
-4(-5) = -4*-5 = 20
6 - (-4) = 10
Quotient = 20 /10 = 2 answer
