Advanced Alegebra
posted by JT .
How do I solve the following problems?
My homework was to correct a puiz that I failed, but I do not know how to solve these problems..please help!
Solving systems of equations using elimination:
7.) 10x  10y = 0
5x  4y = 8
Answer (8,8)
I got the right answer because this one was multiple choice, but it was because I guessed...I need to know how to work it out.
8.) 8x  8y = 8
5x + 16y = 16
9.)I need this one worked out...I guessed the right answer (7, 7)
2x + 3yy = 7
3x  2y = 7
10.) 8x + 8y = 16
3x + 7y = 10
11. 8x + 14y = 128
6x + 2y = 62

#7:
if 10x10y=0, then 10x=10y, or x=y
plug that into the other equation to get
5x4x = 8
x=8, so y=8
the others are basically the same. you can substitute, or eliminate.
#8:
8x  8y = 8
5x + 16y = 16
x+y=1, so y = 1x
5x + 16(1x) = 16
21x = 0
x=0, so y=1
elimination:
#10
8x + 8y = 16
3x + 7y = 10
multiply top by 3 and bottom by 8 to get
24x + 24y = 48
24x  56y = 80
add them up to get
32y = 128
y = 4, so x = 6
Try the others and come back if you get stuck. Show us whatcha got, and we can straighten it out if necessary.
If you get an answer, be sure to plug the values back into both original equations to make sure it is right.