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Which of the Following Equations Could Be the Result of Multiplication and Addition to Eliminate a Variable in the System of Equations?

Problemas

Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system of equations? 19y=22 A 19x=24 11 y=22

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Julio maestro · Tutor durante 5 años
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Respuesta

To determine which equation could be the result of multiplying and adding to eliminate a variable in the system of equations, we need to analyze the given equations.Given equations:1. 2. 3. Let's analyze each equation:1. : This equation represents a linear equation with one variable, y.2. : This equation represents a linear equation with one variable, x.3. : This equation represents a linear equation with one variable, y.To eliminate a variable in the system of equations, we need to multiply and add the equations in such a way that one of the variables cancels out.In this case, we can multiply the first equation ( ) by 11 and the third equation ( ) by 19. This will allow us to eliminate the variable y.Multiplying the first equation by 11: Multiplying the third equation by 19: Now, we can add these two equations to eliminate the variable y: Simplifying the equation: Therefore, the equation that could be the result of multiplying and adding to eliminate a variable in the system of equations is .So, the correct answer is: .