Question

A linear equation 2x+3y=5 has a unique solution .is it true or false

Answer 1

No it is not true
2x+3y=5
is a linear equation in two variable
As we put the value of x we get value of y and will become a solution
so we can put infinite no of values of x and would get value of y
OR
By plotting this linear line on the graph we would get a straight line
and the points on the line would be its solution hence we know that we can plot infinite no. of points on line hence it can has infinite no. of solutions

Answer 2

The given statement is false

Given linear equation is $2x+3y=5$

Find-This is true or false

Solution-Given linear equation is

$2x+3y=5$

we can write it as

$3y=5-2x$

Dividing both sides by $3$

$y=\frac{5}{3}-\frac{2x}{3}$

Here y-takes many values infinity many solutions for various $x$ values.

Hence the statement is false.

#SPJ2