Answer:
the solution is (-3, -2)
Step-by-step explanation:
Please, separate your equations with a (;) or a (.). Better yet, write only one equation per line:
y=2x+4
3x−6y=3
Substitute 2x + 4 for y in the second equation:
3x - 6(2x + 4) = 3, or
3x - 12x - 24 = 3
Combining like terms, we get -9x = 27, and so x = -27/9, or x = -3.
Since we know that y=2x+4, we replace x in this equation with -3 and calculate y:
y = 2(-3) + 4 = -2
Then the solution is (-3, -2).
The answer is D, 35 degrees. The 35 degree angle and angle x are opposite interior angles and are therefore congruent in measure.
Answer:
- Domain: Interval notation is
, set builder is 
- Range: Interval notation is
, set builder is 
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
The equation given in the question has one unknown variable in the form of "x" and only one equation is required to find the value of the unknown variable. So it is absolutely possible to find the exact value of "x".
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
-18 - 8x = 14
Multiplying both sides of the equation by -1 we get
8x + 18 = - 14
Dividing both sides by 2 we get
4x + 9 = - 7
4x = - 7 - 9
4x = - 16
x = - 16/4
= - 4
So the value of "x" comes out to be equal to - 4. I hope the procedure is clear enough for you to understand.
Answer:
24 cartons
Step-by-step explanation:
8c=7
7/8=0.875
21/0.875=24