5x - 2y= -5
y - 5x = 3
2007-01-17 10:09:50 · 4 answers · asked by CelticMoonGoddess 2 in Science & Mathematics ➔ Mathematics
5x - 2y= -5
y - 5x = 3
y = 5x + 3
So...
5x - 2(5x+3) = -5
5x - 10x - 6 = -5
-5x = 1
x = -1/5
So y = 5(-1/5) + 3
= -1 + 3
Y = 2
2007-01-17 10:15:18 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Taking the second equation, you can solve for y. You get y=5x+3. Take this y and plug it into the first equation so you get
5x -2(5x+3)=-5. Now you have an equation of one variable and you are able to solve for x. Once you have x, plug it back in to either equation, preferably the one we already have y=5x+3 and you will get y.
2007-01-17 18:17:13 · answer #2 · answered by mobaxus 2 · 0⤊ 0⤋
y= 3+5x
substituting in the first equation:
5x- 2(3+5x) = -5
5x - 6 - 10 x = -5
-5x=1
x= -1/5
y = 3+5(-1/5)
y = 2
(-1/5, 2)
2007-01-17 18:15:36 · answer #3 · answered by David 3 · 0⤊ 0⤋
Add 5x from both sides:
y=5x+3
Substitute it into the first equation:
5x-2(5x+3)=-5
5x-10x-6=-5
-5x-6=-5
Add 6 from both sides:
-5x=1
Divide -5 from both sides:
x=-1/5
Plug it in one of the x-values:
y-5(-1/5)=3
y+1=3
Subtract 1 from both sides:
y=2
The solution set is (-1/5,2)
Check:
5(-1/5)-2(2)=-5
-1-4=-5
-5=-5
2-5(-1/5)=3
2+1=3
3=3
I hope this helps!
2007-01-17 18:33:19 · answer #4 · answered by Anonymous · 0⤊ 0⤋