Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 3 → (2)
y = - 9x + 15 → (2)
Substitute y = - 3x + 3 into (2)
- 3x + 3 = - 9x + 15 ( add 9x to both sides )
6x + 3 = 15 ( subtract 3 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
y = - 3(2) + 3 = - 6 + 3 = - 3
solution is (2, - 3 )
<span>Simplifying
10 + -3(3x + -40) = -9x
Reorder the terms:
10 + -3(-40 + 3x) = -9x
10 + (-40 * -3 + 3x * -3) = -9x
10 + (120 + -9x) = -9x
Combine like terms: 10 + 120 = 130
130 + -9x = -9x
Add '9x' to each side of the equation.
130 + -9x + 9x = -9x + 9x
Combine like terms: -9x + 9x = 0
130 + 0 = -9x + 9x
130 = -9x + 9x
Combine like terms: -9x + 9x = 0
130 = 0
Solving
130 = 0
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.</span>
Answer:
269
Step-by-step explanation:
1) Substitute in the given values for each variable:
6(3)+23+(7)(33)-3
2) Simplify:
18+23+231-3
3) Simplify again:
269
9514 1404 393
Answer:
7 1/3 hours
Step-by-step explanation:
We are to assume that the total number of heater-hours required is a constant. That is, the time is inversely proportional to the number of heaters.
If the number of heaters goes up by a factor of 6/4 = 3/2, then the number of hours will go down by the inverse factor: 2/3.
With 6 heaters instead of 4, the time required is (2/3)(11 hours) = 7 1/3 hours.
Answer:
6
Step-by-step explanation:
