Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
Answer:
Each women purchased 32 towels.
Step-by-step explanation:
Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.
Answer:
The total number of students in the gymnastics are <u>70</u>.
Step-by-step explanation:
Given:
Fifty-six students in a gymnastics club participated in the last fundraiser.
In the gymnastics club 80% of the students in the club participated in the fundraiser.
Now, to find the total number of students in the gymnastics.
Let the total number of students be 
Number of students participated in the club = 56.
Percent of students participated in the club = 80%.
According to question:
<em>Dividing both sides by 0.8 we get:</em>
Therefore, the total number of students in the gymnastics are 70.
Answer:
y = 2x
Step-by-step explanation:
Y = 2x
F(x)=4-2x+x^2
=4-1+1-x-x+x^2
=3+(1-x) - x(1-x)
= 3+(1-x) (1-x)
= 3 + (1 - x)^2
f(x) = (1 - x)^2 + 3
