Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
- - Let's solve for C.
Starting off with our equation:
Transform:
Solve for that:
Solve for that for the last time and your answer is
Answer:
y +5 = (-2/3)(x -4)
Step-by-step explanation:
The point-slope form of an equation of a line with slope m through point (h, k) is ...
... y -k = m(x -h)
You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...
... y -(-5) = (-2/3)(x -4)
... y +5 = (-2/3)(x -4)
Answer:
multiply the population each year by 4% or 0.04
year 1 increase by 9600, population 249,600
year 2 increase by 9984, population 259,584
year 3 increase by 10,383, 269,967
year 4 increase by 10,799, 280,766
year 5 increase by 11,231, 291,997
year 6 increase by 11,680, 303, 677
Step-by-step explanation:
I rounded the totals.
