Answer:
Therefore, x is 1 and 2.
Step-by-step explanation:
As you plot both equations on the same graph, you will get something like this, shown in the graph.
Then, you have to find the x solutions where they intersect.
So, both equations intersect at x = 1 and 2.
The double implication "if and only if" is graphically represented by an arrow pointing in both direction, so the correct writing is
2/3 + (-1/3) = 2/3 - 1/3 = 1/3
Answer:
Haircuts cost $50.33
Hair Color costs $80.33
Step-by-step explanation:
Let haircut be cost "a"
coloring be cost "b"
2 haircut, 4 coloring equals 422, we can write:
2a + 4b = 422 {Equation 1}
5 haircut, 4 coloring, equals 573, we can write:
5a + 4b = 573 {Equation 2}
We now multiply equation 1 with -1 and add it with Equation 2 to get:
-1(2a + 4b = 422) = -2a - 4b = -422
Now,
-2a - 4b = -422
5a + 4b = 573
----------------------
3a = 151
a = 151/3 = $50.33
Now, to find b, we plug in this value into any equation and solve for b:
2a + 4b = 422
2(50.33) + 4b = 422
4b = 422 - 100.66
b = $80.33
Haircuts cost $50.33
Hair Color costs $80.33
Yes you are correct! because there are no values of x that make the equation true.
