The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
Answer:
Number of high quality version downloads = 880
Step-by-step explanation:
Let,
x be the number of standard version songs downloaded
y be the number of high quality version songs downloaded
According to given statement,
x+y=1600 Eqn 1
2.8x+4.1y=5624 Eqn 2
Multiplying Eqn 1 by 2.8 to eliminate x
2.8(x+y=1600)
2.8x+2.8y=4480 Eqn 3
Subtracting Eqn 3 from Eqn 2
(2.8x+4.1y)-(2.8x+2.8y)=5624-4480
2.8x+4.1y-2.8x-2.8y=1144
1.3y=1144
Dividing both sides by 1.3
Hence,
Number of high quality version downloads = 880
Because the polynomial has degree 2, we can assume that there are 2 solutions (roots), whether real or imaginary.
You can subtract 60 in order to put this in standard form
48x^2+44x-60 = 0
From there, just put a,b, and c into the quadratic formula and you're good to solve for your answers.
(-b+-sqrt(b^2-4ac))/2a
(-44+-sqrt(44^2-4(48)(-60)))/2(48)
Then solve.
There is probably a better way, but this should give you the two roots/solutions.
Answer:2
x
+
3
y
=
6
Step-by-step explanation:
in standard form
