If there are 100 students in the girls athletic program, then how many students participate in soccer
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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
Learn more about systems of linear equations here:
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