Yolanda is buying supplies for school.she buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What
1 answer:
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This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
Answer:
Center (4, -13)
Radius = 17
Step-by-step explanation:
Circle equation:
(h, k) is the center of the circle and the r is the radius.
h = 4, k = -13, r = 17
First simplify
x-4y-8=3/4-10y
add 10y both sides and add 8
x+6y=8+3/4
times 4 both sides
4x+24y=32+3
4x+24y=35
5y-3(6-7/8)=5x-4y+3
add 4y both sides
9y-3(6-7/8)=5x+3
distribute
9y-18+21/8=5x+3
minus 5x both sides
9y-5x-18+21/8=3
add 18 to both sides and minus 21/8 both sides
9y-5x=21-21/8
times 8 both sides
72y-40x=147
72y-40x=147
so we got
24y+4x=35
72y-40x=147
multiply first equation by -3 and add to 2nd
-72y-12x=-105
72y<span>-40x=147 +</span>
0y-52x=42
-52x=42
divide both sides by -52
x=-21/26
sub back
24y+4x=35
24y+4(-21/26)=35
using math
y=497/312
the solution is
x-4y-8=3/4-10y
add 10y both sides and add 8
x+6y=8+3/4
times 4 both sides
4x+24y=32+3
4x+24y=35
5y-3(6-7/8)=5x-4y+3
add 4y both sides
9y-3(6-7/8)=5x+3
distribute
9y-18+21/8=5x+3
minus 5x both sides
9y-5x-18+21/8=3
add 18 to both sides and minus 21/8 both sides
9y-5x=21-21/8
times 8 both sides
72y-40x=147
72y-40x=147
so we got
24y+4x=35
72y-40x=147
multiply first equation by -3 and add to 2nd
-72y-12x=-105
72y<span>-40x=147 +</span>
0y-52x=42
-52x=42
divide both sides by -52
x=-21/26
sub back
24y+4x=35
24y+4(-21/26)=35
using math
y=497/312
the solution is