Answer:
The correct option is D.
Step-by-step explanation:
The given equation is

According to the addition property of equality
and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.


Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality
and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.


Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
The relevant equations are ...
3x -y = 22
x +2y = 12
__
We can eliminate y by adding twice the first equation to the second.
2(3x -y) +(x +2y) = 2(22) +(12)
7x = 56
x = 8
Substituting into the first equation gives ...
3(8) -y = 22
y = 24 -22 = 2
The first number is 8; the second number is 2.
You didn't provide the possible answers, but the smallest length of time will result in the least amount of interest.
Answer:
Infinitely many solution.
Step-by-step explanation:
The given system is
x = y + 4
y = x - 4
To graph the first equation, we write it in slope-intercept form to get: to
x=y+4
This implies y=x-4.
This has a slope of 1 and a y-intercept of -4.
The graph of this function is shown in the attachment.
The second equation is y=x-4.
This equation is identical to first equation, so its graph coincides with the first one.
The system has infinitely many solution.