Answer:
Less steep
Step-by-step explanation:
Answer:
x = -3 and y = 1.
Step-by-step explanation:
The given system of equations is:
-x + 3y = 6 ---(1)
-10x - 3y = 27 ---(2)
To solve this system of equations, we can use the method of elimination or substitution.
Method 1: Elimination
To eliminate the variable y, we can add equations (1) and (2) together:
(-x + 3y) + (-10x - 3y) = 6 + 27
Simplifying the equation gives us:
-11x = 33
Dividing both sides of the equation by -11, we get:
x = -3
Now, we can substitute this value of x into either equation (1) or (2) to find the value of y. Let's use equation (1):
-x + 3y = 6
Substituting x = -3, we have:
-(-3) + 3y = 6
Simplifying the equation gives us:
3 + 3y = 6
Subtracting 3 from both sides of the equation, we get:
3y = 3
Dividing both sides of the equation by 3, we have:
y = 1
Therefore, the solution to the system of equations -x + 3y = 6 and -10x - 3y = 27 is x = -3 and y = 1.
Method 2: Substitution
Let's solve the system of equations using the substitution method.
From equation (1), we can express x in terms of y:
x = 6 - 3y ---(3)
Substitute this expression for x into equation (2):
-10(6 - 3y) - 3y = 27
Simplifying the equation gives us:
-60 + 30y - 3y = 27
Combining like terms, we have:
27y = 87
Dividing both sides of the equation by 27, we get:
y = 3
Now, substitute this value of y into equation (3):
x = 6 - 3(3)
Simplifying the equation gives us:
x = 6 - 9
x = -3
Therefore, the solution to the system of equations -x + 3y = 6 and -10x - 3y = 27 is x = -3 and y = 3.
Both methods lead to the same solution, which is x = -3 and y = 1.
The required inequality for Silvio to earn more than $158 in one day is, $50 + 12x ≥ 158.
Given that,
Silvio works at a car wash. He earns $50 per day and $12 per car washed. Silvio wants to earn at least $158 in 1 day.
To determine the inequality represents the number of cars (C) Silvio must wash to reach his goal.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the number of cars washed by Silvio be x,
According to the question,
Silvio works at a car wash. He earns $50 per day and $12 per car washed.
Total earning of the day = $50 + 12x
Silvio wants to earn at least $158 in 1 day. So, his total earnings of the day must be greater equal to $158.
$50 + 12x ≥ 158.
Thus, the required inequality for Silvio to earn more than $158 in one day is, $50 + 12x ≥ 158.
Learn more about inequality here:
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Answer:
50+12x≥158
Step-by-step explanation:
starting with $50, adding $12 for every car washed (x), must be at least, but can be greater than, $158.
Answer:
36:24
Step-by-step explanation:
6+4=10
60/10=6
6*6:4*6
=36:24