Substitute the value 26.7 (or the exact value of 80/3) for x in the first of the original equation (x + y = 40) to find the value of y. Once you have found the value of y using the first of the original equation, you can substitute this value of y and the value of x (26.7) into the second of the original equation (0.75x + 1.5y = 40) to check your work. If the values that you find on the two sides of the equal sign are not equal, then you must recheck your work.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

the value of  [tex]y = 13.3[/tex]

Explanation:

From the question we are told that

       The equation is  (x + y = 40)

        The first value of x is  [tex]x_1 = 26.7[/tex]

        The second equation is  (0.75x + 1.5y = 40)

So  substituting [tex]x_1[/tex]

     [tex]26.7 + y = 40[/tex]

=>   [tex]y = 13.3[/tex]

Now substituting y and  [tex]x_1[/tex] into second equation

       [tex]0.75(26.7) + (1.5* 13.3) = 40[/tex]

 =>  [tex]40 = 40[/tex]

So  [tex]y = 13.3[/tex]

         

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