Math, asked by Aryan37751, 9 months ago

3y=x-2; 2x+5y=15 substitution method

Answers

Answered by Alcaa
6

x = 5

y = 1

Step-by-step explanation:

We are given the following pair of equations :- 3y=x-2  and  2x+5y=15 .

And we have to find the value of x and y using substitution method.

Substitution method means that taking the value of one variable from the equation and then substituting that value of variable in another equation.

First equation is given by;

                            3y=x-2

                            3y+2=x

                            x=3y+2  ------------------ [Equation 1]

Second equation is given by;

                             2x+5y=15  ----------------- [Equation 2]

Now, substituting the value of x from equation 1 into equation 2, we get;

                             2(3y+2)+5y=15    

                              6y+4+5y=15

                               11y+4=15

                                11y=15-4

                                11y=11      

                                    y=\frac{11}{11} = 1

Now, putting value of y in equation 1, we get;    

                                  x=3y+2

                                  x=3\times 1+2

                                  x=3+2 = 5

                                     

Therefore, value of x = 5 and  y = 1.

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