x-4y-8=3/4-10y add 10y both sides and add 8 x+6y=8+3/4 times 4 both sides 4x+24y=32+3 4x+24y=35
5y-3(6-7/8)=5x-4y+3 add 4y both sides 9y-3(6-7/8)=5x+3 distribute 9y-18+21/8=5x+3 minus 5x both sides 9y-5x-18+21/8=3 add 18 to both sides and minus 21/8 both sides 9y-5x=21-21/8 times 8 both sides 72y-40x=147 72y-40x=147
so we got
24y+4x=35 72y-40x=147
multiply first equation by -3 and add to 2nd
-72y-12x=-105 72y-40x=147 + 0y-52x=42
-52x=42 divide both sides by -52 x=-21/26 sub back
24y+4x=35 24y+4(-21/26)=35 using math y=497/312
the solution is [tex]( \frac{-21}{26}, \frac{497}{312} )[/tex]
