X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
Hi!
Imagine a rectangle with a width of 20 inches, and a height of 16. Find the length around the rectangle (the perimeter).
16+20+16+20=72
There are 12 inches in a feet. How many feet are in 72 inches?
72/12=6
Lana needs 6 feet of ribbon. She bought 7 feet.
7-6=1
It is enough ribbon.
1 foot will be leftover.
Hope this helps! :)
-Peredhel
Answer: W+5=M
Step-by-step explanation:
Every Number in W can be added by 5 to get the value of M.
Answer:
7/10
Step-by-step explanation:
Get a common denominator
1 - 3/10
10/10 - 3/10
7/10