Question

solve the following simultaneous equations graphically. 1) x + y = 6; x-y = 4​

Answer 1

SolutioN :

We have, Pair of Linear Equation.

$\tt \dagger \: \: \: \: \: x + y = 6.$

$\tt \dagger \: \: \: \: \: x - y = 4.$

Taking Equation ( 1 )

$\rule{90}2$

When, x = 1.

$\tt \dagger \: \: \: \: \: x + y = 6.$

$\tt : \implies 1 + y = 6.$

$\tt : \implies y = 5.$

$\rule{90}2$

When, x = 2.

$\tt : \implies 2 + y = 6.$

$\tt : \implies y = 4.$

$\rule{90}2$

When, x = 3.

$\tt : \implies 3 + y = 6.$

$\tt : \implies y = 3.$

$\rule{200}2$

Taking Equation ( 2 )

$\tt \dagger \: \: \: \: \: x - y = 4.$

When, x = 1.

$\tt : \implies \: 1 - y = 4.$

$\tt : \implies y = - 3$

$\rule{90}2$

When, x = 2.

$\tt : \implies 2 - y = 4.$

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

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

$\rule{90}2$

When, x = 3.

$\tt : \implies3 - y = 4.$

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

$\rule{90}2$

★ Graph Provide above,