<span>In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from elementary algebra. In propositional logic, distribution refers to two valid rules of replacement. The rules allow one to reformulate conjunctions and disjunctions within logical proofs.</span>
slope intercept form
y = mx +b
x-y =8
subtract x from each side
-y = -x+8
divide by -1
y = x-8
Choice C
Answer:
14
Step-by-step explanation:
7+7
Answer:
8 miles
Step-by-step explanation:
Given
<em>Represent the police station with P, Library with L; Fire station with F</em>
<em>The first statement can be represented as:</em>
<em></em>
<em>The second can be represented as:</em>
Required
Determine the distance between the police station and the fire station (P - F)
--- (1)
--- (2)
Substitute 5 for L - P in (1)
Add 3 to both sides
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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