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Solve the equation using Addition method.

Some election data can be modeled by the following system of equations --

x + 2y = 47
-x + 2y = 27

where x is the years after 1996, and y is the percentage of group A voters in the first equation, and y is the percentage of group B voters in the second equation. Use the addition method to determine in which year the percentage of voters from group A will be the same as the percentage of voters from group B. For that year, what percent will be from group A and what percent will be from group B ?

In which year will the percentage of voters from group A be the same as the percentage of voters from group B ?

What percentage will be from group A and what percent will be from group B that year ?

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Please find below the solution.

x+2y=47
-x+2y=27

Find the value of y from both the equations,
First equation--
x+2y=47 which is equal to-
2y= -x + 47

Divide both the sides of the equation by 2-

y= ...

Solution Summary

This solution shows step by step how to use the addition method to calculate a given set of equations.

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