The xy-value in the solution to the given system of linear equation shows that x = 2 and y = -4.
<h3>What is a system of linear equations?</h3>
Whenever two or more linear equations operate simultaneously, we create a System of Linear Equations. These equations must contain one or more similar variables in order to operate together.
When solving a system of linear equations, our objective is to simplify two equations having two variables to a single equation having one variable. Because each equation in the system includes two variables, substituting an expression for a variable is one technique to minimize the number of variables in an equation.
From the given information:
4x + 5y = -12 --- (1)
-2x + 3y = -16 ----- (2)
From equation (1)
4x+5y+(−5y) = −12 + (−5y) (Add -5y to both sides)
4x = −5y − 12
Divide both sides by 4
Replacing the value of x in into equation (2); we have:
Simplifying both sides of the equation, we have:
Cross multiply
11y = -44
y = -4
Replace the value of y = -4 into
x = 2
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Answer:
A. $12
Step-by-step explanation:
For a quadratic of the form ax²+bx+c, the axis of symmetry is given by ...
x=-b/(2a)
For your quadratic function, the axis of symmetry is ...
s = -(2400)/(2(-100)) = 12
The function has its extreme value on the axis of symmetry. Here, the leading coefficient is negative, so the parabola opens downward. That means the extreme value is a maximum.
Profit will be a maximum at a selling price of $12.
42÷3=__
3×1=3 4-3=1
bring down the 2 so then it would be 12. 12÷3=4. so the answer is 14
Answer:
The correct answer is a) x is 2/3 of y.
Step-by-step explanation:
In a ratio, the order in which you put the numbers allows us to know which is greater. Since the ratio states x first, it goes with the first number (2). Since it is multiplied by a factor of 2 and the y is multiplied by a factor of 3, the x will always be 2/3 of the y.