Answer:
(-6,1)
Step-by-step explanation:
-2x+6y=18
-4x-6y=18
Add the two equations together to eliminate y
-2x+6y=18
-4x-6y=18
--------------
-6x = 36
Divide each side by -6
-6x/-6 = 36/-6
x = -6
Now we need to find y
-2x +6y = 18
-2(-6) +6y = 18
12 +6y = 18
Subtract 12 from each side
12-12 +6y = 18-12
6y = 6
Divide by 6 on each side
6y/6 = 6/6
y = 1
Answer:
The system of equations is
Step-by-step explanation:
Let
x------> the number of videos of new releases
y-----> the number of classics videos
we know that
------> equation A
------> equation B
Using a graphing tool
Solve the system of equations
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is
see the attached figure
therefore
the number of videos of new releases is
the number of classics videos is
Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5
Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.
So this means y-7x=143/14.
We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:
y-x=44.5
y-7x=143/14
Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7
Since y-x=89/2
We get y - 40/7 = 89/2
Y = 40/7 + 89/2
Y = 80/14 + 623/14
Y = 703/14 = 50 3/14
Answer:
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Step-by-step explanation:
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