Question

Solve the system

4x - 7y = 5
14y = 8x + 10

I got y = 10/-13
x = -5/52

but it doesn't seem right

Answer 1

arrange the second to
8x - 14y = -10
divide by 2
4x - 7y = -5

when you subtract the two you would get
0 = 10 , which of course is nonsense.

So the system has no solution (since both x's and y's dropped out and we ended up with a false statement)

What the "system" was trying to do was finding out where two parallel lines would meet. (they don't)

Answer 2

For 8x - 14 y = 10

wouldn't it be 10 and not -10?

Answer 3

the way I learned it was to solve for x first and then put the equation for x into the second equation to get y.

Answer 4

ok, let's do it your way....

1st:
4x - 7y = 5
4x = 7y + 5
x = (7y+5)/4

into the 2nd:
14y = 8(7y+5)/4 + 10
14y = 2(7y+5)
14y = 14y + 10
0 = 10

same result!!!

As to your first question in this reply ...

14y = 8x + 10
14y - 8x = 10 , multiply by -1
-14y + 8x = -10 or
8x - 14y = -10

Answer 5

thank you!