Question

3x-2y+4=0;2x-y+3=0 solve graphically​

Answer 1

SolutioN :

We have, Equation.

$\tt \dagger \: \: \: \: \: 3x - 2y + 4 = 0. - - - (1)$

$\tt \dagger \: \: \: \: \: 2x - y + 3 = 0. - - - (2)$

☄Taking Equation, ( 2 )

$\tt : \implies 2x - y + 3 = 0.$

$\tt : \implies 2x = y - 3.$

$\tt : \implies x = \dfrac{ y - 3}{2} - - - (3)$

☄ Putting the value of X in Equation ( 1 ) We get.

$\tt : \implies 3x - 2y + 4 = 0.$

$\tt : \implies 3 \Bigg(\dfrac{y-3}{2}\Bigg) \: - 2y + 4 = 0.$

$\tt : \implies \dfrac{3y - 9 - 4y + 8}{2} = 0.$

$\tt : \implies 3y - 9 - 4y + 8 = 0.$

$\tt : \implies -y - 1 = 0.$

$\tt : \implies - y = 1.$

$\tt : \implies y = - 1.$

☛ Now, Putting the value of Y in Equation ( 3 )

$\tt : \implies x = \dfrac{ y - 3}{2}$

$\tt : \implies x = \dfrac{ ( - 1) - 3}{2}$

$\tt : \implies x = \dfrac{ - 4}{2}$

$\tt : \implies x = - 2.$

Therefore, the value of x is - 2 and y is - 1.

Note : Graph Provide above.