b. 15 m wide
c. 16 m wide
d. 17 m wide
Equation D: y = 7x + 2
Which of the following best describes the number of solutions to the given set of equations? (1 point)
One solution
Two solutions
Many solutions
No solution
Two linear equations y = 7x + 12 and y = 7x + 2 don't have any solution.
A linear equation is an equation where the variable has the highest power of one. A linear equation could have more than one variable. However, the highest power of the variable is one.
Given, 1st equation is y = 7x + 12
⇒ - 7x + y = 12
Therefore, a₁ = -7, b₁ = 1, and c₁ = 12.
The second equation is y = 7x + 2
⇒ - 7x + y = 2
Therefore, a₂ = -7, b₂ = 1, and c₂ = 2.
We know, two linear equations can't have any solution if a₁/a₂ = b₁/b₂ ≠ c₁/c₂.
Therefore, -7/ -7 = 1/1 ≠ 12/2.
Hence, these two linear equations have no solution.
Learn more about a linear equation here: brainly.com/question/13738061
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There is no solution because 12 and 2 are totally different numbers, it doesn't work, because both x's have a 7(7x).
there are no solutions.
B.commutative
C.distributive
D.reflexive
Which answer is right !
Leila used the distributive property in the first step to solve the given equation, multiplying both terms in the parentheses by the fraction 2/3.
In this step, Leila applied the distributive property. The distributive property states that a(b + c) = ab + ac. This property allows us to multiply a single term by two or more terms within a parenthesis. In this case, Leila multiplied the fraction 2/3 by both 'x' (the variable) and '5' (the constant), inside the parentheses.
So, the equation went from 2/3 (x + 5) to (2/3 * x) + (2/3 * 5), which follows the rule of distributive property ab + ac when applied to the given equation.
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Answer:
The number of small vehicles washed in total = 60
Step-by-step explanation:
Amount of money that soccer team selected at a car wash fundraiser = $800
Amount of money charged for small vehicles = $5
Amount of money charged for larger vehicles = $10
The amount collected can be modeled by the equation 5x + 10y = 800 , where x represents the number of small vehicles and y represents the number of larger vehicles
Now, the number of larger vehicles washed was 50 and we need to find the number of small vehicles washed.
So, y = 50 and find the value of x from the modeled equation
⇒ 5x + 10y = 800
⇒ 5x + 10 × 50 = 800
⇒ 5x + 500 = 800
⇒ 5x = 300
⇒ x = 60
Thus, The number of small vehicles washed in total = 60