The sum of two numbers is 26. The first number is two more than 5 times the second number. What are
the two numbers? Define your variables. Write two equations and then solve. Be sure to write your
answer in a complete sentence!

Answer:

Let us assume the two numbers be x and y  

From the above condition we can write, x + y = 26 equation 1  

second condition first no x = 2 more 5 times of the second no. that is 5y + 2  

                  then  we can write,               x = 5y + 2..... eqation (2)

  from equation 1  x + y = 26  

                        subtracting y from each side ,     x+ y - y = 26 - y  

                                                                            x = 26 - y  

                             plugging this value of x in eqn. no (2 )  we get,

                                                                   26-y = 5y + 2  

                                                  subtracting 5y on both sides,

                                                                   26 - y - 5y = 5y - 5y + 2  

                                                                    26 - 6y = 2  

                                                  subtracting 26 from both sides,  

                                                              26 -26 -6y = 2- 26  

                                                                          -6y = -24  

                                                eliminating minus sign from both sides,

                                                                            6y = 24  

                                                   dividing by 6 on both sides,

                                                                           y = 24/6 = 4  

                                         substituting this value of y in equation 1 we get,  

                                                                          x + 4 = 26  

                                                       subtracting 4 from both sides,

                                                                             x = 26- 4 = 22

Step-by-step explanation:

so we solve the 2 eqns we get x = 22 and y = 4  

the two numbers will be 22 and 4  

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