HELP ME PLEASE!! Solve the simultaneous equations.
x + 2y = 13
x + 5y = 28

x =
y=

Given :-Here, We have given two equations that is ,To Find :-We have to find the value of x and y.Concept used :-Linear equations are those equations which having highest power of degree as 1 .Linear equations can be solved by subsitute method, elimination method and cross multiplication method. Here, I have used substitution method to make calculation easier. In subsitute method, you have to subsitute the value of one variable of eq(1) in eq(2) .Let's Begin :-

Here,

We have two equations, let consider these two equations as eq(1) and eq(2) that is,

By solving eq(1) :-

Subsitute eq(3) in eq(2) :-

Thus, The value of y is 5

Now,

Subsitute the value of y in eq(1) :-

Hence, The value of x and y are 5 and 3 .

Equation 1 :-

Equation 2 :-

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.