Question 785218
{{{3/5}}}x + {{{1/4}}}y = {{{-11/10}}}
{{{1/8}}}x = {{{13/24}}} + {{{1/3}}}y
First get rid of those annoying fractions,
multiply the 1st equation by 40, the 2nd equation by 24
24x + 10y = -44
3x = 13 + 8y
Rearrange the 2nd equation
24x + 10y = -44
3x - 8y = 13
multiply the 2nd equation by 8
24x + 10y = -44
24x - 64y = 104
------------------subtraction eliminates x, find y
74y = -148
y = -148/84
y = -2
:
Use eq: 3x = 13 + 8y to find x
3x = 13 + 8(-2)
3x = 13 - 16
3x = -3
x = -1
:
:
I'll let you get in on the fun, check these solutions in the original equations