Answer:
Infinutely many solutions
Step-by-step explanation:
y = 10x + 2 --------- (1)
y = 8x +2x +2
=> y = 10x + 2---------- (2)
(1) -> 10x -y + 2 = 0
(2) -> 10x -y + 2 = 0
a1=10 ; b1=-1 ; c1 = 2
a2=10 ; b2=-1 ; c2= 2
a1/a2 = 10/10 = 1
b1/b2 = -1/-1 = 1
c1/c2 = 2/2 = 1
therefore, a1/a2 = b1/b2 = c1/c2
Therefore the line coincides and there are infinitely many solutions.
There are 8 people who do not like reading, and 2 people who do not enjoy playing video games. There is one person who does not like reading or playing video games.
This makes 9 non readers and 3 non gamers.
Ratio is 9:3 which simplifies to 3:1
9514 1404 393
Answer:
B. x = -6, x = 4
Step-by-step explanation:
The constant on the left wants to be 1, the square of half the x-coefficient. We can get it to be that value by adding 8 to the equation.
x² +2x +1 = 25
(x +1)² = 25 . . . . . . . rewrite the left side as a square
x +1 = ±√25 = ±5 . . . . take the square root
x = -1 ±5 . . . . . . . . . subtract 1
x = -6 or x = 4
Answer:
50 hammers and 20 wrenches.
Step-by-step explanation:
Let x represent number of hammers and y represent number of ranchers.
We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:
We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:
From equation (1), we will get:
Substituting this value in equation (2), we will get:
Therefore, 20 wrenches were sold.
Now, we will substitute in equation (1) as:
Therefore, 50 hammers were sold.
