Set up a system of equations:
x + y = 9
1/x +1/y = 1/2
The easiest way to solve would be substitution.
x + y = 9 can be solved for y:
y = 9 - x
Then plug this into the second equation and solve for x:
1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3
You can check your answer by plugging the two numbers back into both of the equations:
6 + 3 = 9
1/6 + 1/3 = 1/2
The two numbers are 6 and 3.
Lets say that you have 4-2=? you can use a bar model....
{the stars are the bars}
you have 4 total and now you need to subtract 2
****
{ i just took away 2 and then you count the bars but in this model count the stars}
**
Hope this helps!!!
Answer:
x=8/9
Step-by-step explanation:
5x+2(x-3)=-2(x-1)
1) Distribute 2 to x and -3:
5x+2x-6=-2(x-1)
2) Distribute -2 to x and -1:
5x+2x-6=-2x+2
3) Combine alike terms:
7x-6=-2x+2
4) Add 2x to both sides:
9x-6=2
5) Add 6 to both sides:
9x=8
6) Divide both sides by 9:
x=8/9
Answer:
answer is b
Step-by-step explanation:
look at the picture
