Question

how to solve equation in 2 variables with examples

Answer 1

Let a equation be x + y = 4 and x - y = 2

Now from eq x+y = 4
X = 4 - y
Putting this value of x in another equation be get

X - y = 2
4 - y - y = 2
4 -2y = 2
-2y = -2
Y = 1

x = 4 - y
X = 4 - 1
X= 3



X= 3 & y = 1





Hope it helps

Answer 2

A linear system of two equations with two variables is any system that can be written in the form.

where any of the constants can be zero with the exception that each equation must have at least one variable in it.

Also, the system is called linear if the variables are only to the first power, are only in the numerator and there are no products of variables in any of the equations.
Solve each of the following systems.
$3x - y = 7$
$2x + 3y = 1$
$3x - 7 = y \\ 2x \ + 3(3x - 7) = 1 \\ 2x + 9x - 21 = 0$
$3x - 7 = y \\ 2x + 3(3x - 7) = 1 \\ 2x + 9x - 21 = 1 \\ 11x = 22 \\ x = 2 \\ y = 3x - 7 = 3(2) - 7 \\ 6 - 7 = - 1 \\ x = 2 \\ y = - 1$