How do you Solve: -2x-7=-29

x=11

Step-by-step explanation: add 7 to both sides of the equal sign. the 7's get canceled out. -29 plus 7 is -22, bring down the -2x, so now you have -2x=-22, then you divide -2 on both sides (the -2x's get cancelled out)  and you get 11

hope I explained it good enough :)

in this problem we have two unknown variables x and y.

to solve this we must to form two equations.

first we will calculate average speed for total distance

let v= speed(velocity)   d=distance 34miles t=total time x+y=7/2h

v=d/t= 34/(7/2)= 68/7 mph

let d1= total distance suzette ran d1= v1*x = 6x

let d2= total distance suzette bike d2= v2*y= (25/2)y

v1=6mph and v2=25/2 mph

formula for calculating average speed is v=(d1+d2)/x+y

when we replace all we know we get   68/7=(6x+(25/2)y)/(7/2) =>

68/7= 2(6x+(25/2)y)/7 we will multiply whole equation with number 7 and get

68= 2(6x+(25/2)y) => 68= 12x+25y => 12x+25y=68

we know that   x+y=7/2 => x=(7/2)-y we replace this in upper equation and get

12((7/2)-y)+25y=68 => 42-12y+25y=68 => 13y=68-42 => 13y=26 => y=2 h

when we back in x=(7/2)-y and replace y we get

x=(7/2)-2=3/2 h=1.5 h x=1.5h

(a) suzette ran x=1.5h

(b) suzette bike y=2h

good !