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    Working with the method of substitution

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    Please help me with #4, #10, and #16. I am having trouble woth these. Please show your work so that I may better understand the process.

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    Solution Preview

    So let us see how to solve equations by the method of substitution.

    The substitution method is used to eliminate one of the variables by replacement when solving a system of equations.

    Think of it as "grabbing" what one variable equals from one equation and "plugging" it into the other equation.

    2x + 7y = 4 ...(1)
    x + 3y = 1.....(2)
    we can write 2 as, x = 1 - 3y ...

    Solution Summary

    Clear explanations and all mathematical steps are provided. The methods of substitutions are given.