Consistent means 1 solution
inconsistent means no solutions....because they are parallel lines
equivalent means infinite solutions...because they are the same line
y = 3x - 2 3x - y = 4
-y = -3x + 4
y = 3x - 4
both equations have the same slope but different y intercepts....this means they are parallel lines and have no solutions ....INCONSISTENT
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1/2y = -x + 5 2y = -4x + 20
y = -2x + 10 y = -2x + 10
same equation.....same line...infinite solutions...EQUIVALENT
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y = -x + 4 x = -y - 6
y = -x - 6
same slope, different y intercepts....parallel lines......no solutions...this means INCONSISTENT
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y = 4x + 2 y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT
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y = 2x + 1 y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT
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-2x + 5y = 0 y = 2/5x
5y = 2x
y = 2/5x
same line....infinite solutions....EQUIVALENT
Answer: Rewrite equations:
5x+y=−13;6x+6y=−6
Step: Solve5x+y=−13for y:
5x+y=−13
5x+y+−5x=−13+−5x(Add -5x to both sides)
y=−5x−13
Step: Substitute−5x−13foryin6x+6y=−6:
6x+6y=−6
6x+6(−5x−13)=−6
−24x−78=−6(Simplify both sides of the equation)
−24x−78+78=−6+78(Add 78 to both sides)
−24x=72
−24x
−24
=
72
−24
(Divide both sides by -24)
x=−3
Step: Substitute−3forxiny=−5x−13:
y=−5x−13
y=(−5)(−3)−13
y=2(Simplify both sides of the equation)
Answer:
x=−3 and y=2
Step-by-step explanation:
Answer:
$13.38
Step-by-step explanation:
Use proportions to solve this problem:
$20.07 / 3 bags = X / 2 bags
multiply both sides by "2 bags" to isolate the unknown X
$20.07 * 2 / 3 = X
Therefore, X = $13.38
Answer:
Option D
Step-by-step explanation:
because you have the ability to get 2/5 answers if it is supposed to be probable less than 3.
A. Alyssa did not get an A on the math test but rather a B- due to only getting 16 out of the 20 problems right. This can be found out by dividing the amount correct over the total amount of problems.
B. In order for Alyssa to get an A or 90% on her math test she would have had to get two more questions right to have a score of 18 out of 20.
C. In order to figure this question out you have to think that with every incorrect answer that Jessie answered she got three correct along with the one incorrect. By going with that information it can be figured that Jessie's score is 15 correct answers and 5 incorrect information if you go by the ratio 3:1 then go up tell the sides equal up to a total of 20 after being added. So Jessie's score again was 15 out of 20.
