The answer:
_____________________________________________
x = (⅔)y ;
y = 3x/2.
_____________________________________________
Given:
x + (⅓)y + x - (2/4)<span>y - x = (3/6)y ;
______________________________________
</span>
Take the: x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ;
and rewrite:
x + (⅓)y - (2/4)y = (3/6)y ;
_______________________________
Note that: (2/4)y = (<span>½)y ;
and: (3/6)y = (</span><span>½)y ; so;
___________________________
Rewrite as:
____________________________
</span>x + (⅓)y - (½)y = (½)y ;
Add "(½)y" to EACH SIDE of the equation;
_________________________________
x + (⅓)y - (½)y + (½)y = (½)y + (½)y ;
to get: x + (⅓)y = y ;
x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ;
So: x = (<span>⅔)y ;
In terms of "y" ;
Given: </span>(⅔)y = x ; Multiply each side of the equation by "3" ;
3*[(⅔)y] = 3*x ;
to get: 2y = 3x ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):
2y / 2 = 3x / 2 ;
to get:
y = 3x/2 ;
___________________________________
The answer is 17, because 41 minus 24 is 17.
2x - 4 = 40 so I put 4 under both of them and crossed it out
2x = 44 I got rid of the -4 on the left side
X=22 I got rid of the 2 on the left side by dividing it and making the answer for 1 x be simple and x=22
Answer:
- 35 grams of 11.43% solution
Step-by-step explanation:
The end solution has same volume as initial volumes of mixture.
The concentration of solution is calculated as below
- 10*0.15 + 25*0.1 = 4 g
- 4 / 35*100% = 11.43% (rounded)
Slope = (y2 - y1)/(x2 - x1) = (-2 - (-2))/(3 - (-6)) = (-2 + 2)/(3 + 6) = 0/9 = 0
Required slope = 0
