Question

Q.2 B Solve.
(1) Identify and write the linear equations in two variables from the following.
X2+2x+y=0 ; x+y+5=0 ; 2x-3y=5 ; 3y=9x-2 ; m2+mn+2=0 ; 3=3m+2n​

Answer 1

Identify the linear equations with two variables

Definitions:

A linear equation is an equation in which the highest power of the variable is always 1.The standard form of the linear equations with two variables is

$ax+by=c$

Step-by-step explanation:

1)$x^{2} +2x+y=0$,here the highest power is 2 and it does not follows the standard form,it is not a linear equation

2)$x=y+5=0\\x+y=-5$,here the highest power is 1 and it follows the standard form,it is a linear equations.

3)$2x-3y=5$,here the highest power is 1 and it follows the standard form,it is a linear equations.

4)$3y=9x-2$,

$9x-3y=2$,here the highest power is 1 and it follows the standard form,it is a linear equations.

5)$m^{2} +mn+2=0$,here the highest power is 2 and it does not follows the standard form,it is not a linear equation

6)$3=3m+2n$,here the highest power is 1 and it follows the standard form,it is a linear equations.

Therefore,the following are the linear equations with two varaibles

$x+y+5=0,2x-3y=5,3y=9x-2,3=3m+2n$.

Answer 2

Step-by-step explanation:

X2+2x+y=0

x+y+5=0

2x-3y=53y=9x-2m2+mn+2=03=3m+2n