Question

NEED HELP WITH LINEAR EQUATIONS! TRY TO ANSWER ALL SHOW ALL WORK:)

1)17-5(2x-9)=-(6x+10)+4
2)-(x-7)+5/3=2(x+9)
3)4/9+4(x-1)=28/9-(x-7x)+1
4) 5(3x+4)-2x=7x-3(-2x+11)

Answer 1

`1)\\\\17-5(2x-9)=-(6x+10)+4\\\\ 17-10x+45=- 6x-10 +4\\\\ -10x+ 6x=-10 +4-17-45\\\\-4x=-68\ \ / :(-4)\\\\x=17`


`2)\\\\-(x-7)+(5)/(3) =2(x+9)\\\\- x+7 +(5)/(3) =2 x+18\\\\- x-2 x=18-(5)/(3)-7\\\\-3x=11-(5)/(3)\\\\-3x= (33)/(3)-(5)/(3)\\\\-3x= (28)/(3) \ \ / *(-(1)/(3))\\\\ x=-(28)/(9)\\\\x=-3(1)/(9)`


`3)\\\\(4)/(9) +4(x-1)=(28)/(9) -(x-7x)+1\\\\(4)/(9) +4 x-4=(28)/(9)+6x+1\\\\ 4 x-6x=(28)/(9) +1- (4)/(9)+4 \\\\ -2x=(28)/(9) + (9)/(9)- (4)/(9)+ (36)/(9) \\\\ -2x=(69)/(9) \ \ / *(-(1)/(2)) \\\\x=-(69)/(18)\\\\x=-(23)/(6) \\\\x=-3(5)/(6)`


`4)\\\\ 5(3x+4)-2x=7x-3(-2x+11)\\\\15x+20-2x=7x+6x-33\\\\15x -2x-7x-6x=-33-20\\\\0 \\eq -53 \\ \\false`