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
Roztwór
Julio
maestro · Tutor durante 5 años
4
(201 Votos)
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:
.