Question

simultaneous equition - 49x - 57y = 172 ; 57x - 49y = 252​

Answer 1

Answer:

You can solve from the pic.

Step-by-step explanation:

Have a great day

Answer 2

Answer:

The solution to the system of equations are:

$x=\frac{2968}{2825}, y=-\frac{11076}{2825}$

Step-by-step explanation:

Given: $- 49x - 57y = 172 ; 57x - 49y = 252$

We have to solve the above simultaneous equation.

• For this first, we will find the value of one variable.
• And then we will find the value of the remaining variables using substitution.

We are solving in the following way:

We have,

$- 49x - 57y = 172 \ \ ...1)\\ 57x - 49y = 252\ \ ...2)$

Now,

$- 49x - 57y = 172$

We are solving for x:

$- 49x = 172+57y\\\\x=-\frac{172+57 y}{49}$

$\text { Substituting } x=-\frac{172+57 y}{49}$in eq 2)

$\left[57\left(-\frac{172+57 y}{49}\right)-49 y=252\right]\\\\\left[\frac{-9804-5650 y}{49}=252\right]\\\\-9804-5650 y=252\times49\\\\-9804-5650 y=12348\\\\-5650 y=12348+9804\\\\y=-\frac{11076}{2825}$

Now,

$\text { For } x=-\frac{172+57 y}{49}\\\\\text { Substituting } y=-\frac{11076}{2825}\\\\x=-\frac{172+57\left(-\frac{11076}{2825}\right)}{49}\\\\x=\frac{2968}{2825}$

Hence, the solution to the system of equations are:

$x=\frac{2968}{2825}, y=-\frac{11076}{2825}$

NOTE:

Q. Solve the simultaneous equation - 49x - 57y = 172 ; 57x - 49y = 252​