Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
Answer:
A
Step-by-step explanation:
Arc length is given by the formula:
Where <em>r </em>is the radius and θ is the central angle, in degrees.
The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:
Use a calculator:
Our answer is A.
Answer:
not taking action
Step-by-step explanation:
because it is talking about how beautiful the gardens are and it could be said like this, "It makes the neighborhood more beautiful. There can be not taking action about that."
Answer:
60 doughnut per mintute
Step-by-step explanation:
The answer is 54 pi in^3. All you have to do is multiply 3x3, then multiply that by 6 and you get the answer 54.
