By solving the system by substitution, we got the solutions:
x = 2/3, y = 8/3.
<h3>
Solving the system of equations:</h3>
I guess we need to solve problem number 5, so let's do that.
Here we have the system of equations:
y = x + 2
3x + 3y = 6
To solve it by substitution, we need to isolate one of the variables in one of the equations and then replace that in the other equation.
For example, here we can see that "y" is already isolated in the first equation, so we can use that and replace it in the second equation.
3x + 3y = 6
3x + 3*(y = x + 2) = 6
3x + 3*(x + 2) = 6
Now we have an equation that only depends on x, so we can solve it:
3x + 3x + 2 = 6
6x + 2 = 6
6x = 6 - 2 = 4
x = 4/6 = 2/3.
Now we can use the first equation to find the value of y:
y = x + 2 = 2/3 + 2 = 2/3 + 6/3 = 8/3.
Then the solution is:
x = 2/3 and y = 8/3.
If you want to learn more about systems of equations, you can read:
brainly.com/question/13729904
Answer:
2:3
Step-by-step explanation:
from 48:72
if we divided both the number on the fraction and under the fractionby 24
the simplest form is 2:3
Paralell to the y axis means that thte equation is x=something
(x,y)
(1,-1)
x=1 is the equation
Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
Answer:
the answer is 4
Step-by-step explanation:
the answer will be positive
