SOLUTION: 7) y=6-x 2x-3y=22 13) 4x+5y=5 6x+7y=7 15) x+9y=4 2x+3y=7

Algebra ->  Expressions-with-variables -> SOLUTION: 7) y=6-x 2x-3y=22 13) 4x+5y=5 6x+7y=7 15) x+9y=4 2x+3y=7      Log On


   



Question 110097This question is from textbook algebra 1
: 7)
y=6-x
2x-3y=22

13)
4x+5y=5
6x+7y=7

15)
x+9y=4
2x+3y=7
This question is from textbook algebra 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
7)
y=6-x+.....substitute y in second expression
2x-3y=22+
2x+-3%286+-+x%29=+22+
2x+-18+%2B+6x=+22+
8x+-18+=+22+....move -18 to the right
8x+=+22+%2B+18+
8x+=+40+..divide both sides by 8
x+=+5+

now find y
y=6-x+
y=6-5+
y=+1+
13)
4x%2B5y=5....both sides multiply by 6
6x%2B7y=7....both sides multiply by -4

24x%2B30y=30
-24x-28y=-28......now add them
24x+%2B%28-24x%29+%2B+30y+%2B%28-28y%29+=+30+%2B+%28-28%29
2y+=+2
y+=+1
then find x
4x%2B5y=5
4x+%2B+5%2A1+=+5
4x+=+5+-+5
4x+=+0........since 4is not_+equal_+to_0, then x_must_be_=+0

15)
x%2B9y=4...both sides in this equation multiply by -2
2x%2B3y=7
-2x-+18y=-8....... add both equations
2x%2B3y=7
-2x+%2B2x+-18y+%2B+3y+=-8+%2B+7
-15y+=+-+1
y+=+-1%2F-15
y+=+1%2F15
then find x
x%2B9y=4
x%2B9%281%2F15%29=4...
x%2B9%2F15=4...
x%2B%289%3A3%29%2F%2815%3A3%29=4...
x%2B3%2F5=4.........move 3%2F5 to the right
x+=+4+-+3%2F5
x+=+20%2F5+-+3%2F5
x+=+17%2F5
x+=+3%282%2F5%29