-4(x-1)=-3x+13-9-x
-4x+4=-3x+4-x
-4x+4=-4x+4
-4x=-4x
0=0
√(x-5) = √(3-x)
|x-5| = |3-x|
x-5= 3-x
2x = 8
x=4
Answer:
x = 350 gallons (amt of 60% solution that must be added)
Step-by-step explanation:
Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons
Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons
Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons
EQUATION:
Active ingredient: 0.60x + 15 = 50 + 0.50x
0.10x = 35
x = 350 gallons (amt of 60% solution that must be added)
Answer:
(x,y) = (3, 1/2)
Step-by-step explanation:
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..
To solve this, add the equations;
x + 2x + 2y - 2y = 4 + 5
3x = 9
x = 3
substitute the value of x into the first equation,
3 + 2y = 4
2y = 4 -3
2y = 1
y = 1/2