Question

Solve the following system of linear equations graphically and shade the triangular region formed by the line with y-axis.

x+ 2y = 5 and 2x-3y = -4

pls do It fast it is very urgent . correct explaination will get BRAINLIEST !​

Answer 1

EXPLANATION.

Graphically linear equation.

⇒ x + 2y = 5. - - - - - (1).

⇒ 2x - 3y = - 4. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ x + 2y = 5. - - - - - (1).

Put the value of x = 0 in the equation, we get.

⇒ (0) + 2y = 5.

⇒ 2y = 5.

⇒ y = 2.5.

Their Co-ordinates = (0,2.5).

Put the value of y = 0 in the equation, we get.

⇒ x + 2(0) = 5.

⇒ x = 5.

Their Co-ordinates = (5,0).

From equation (2), we get.

⇒ 2x - 3y = - 4. - - - - - (2).

Put the value of x = 0 in the equation, we get.

⇒ 2(0) - 3y = - 4.

⇒ - 3y = - 4.

⇒ 3y = 4.

⇒ y = 1.33.

Their Co-ordinates = (0,1.33).

Put the value of y = 0 in the equation, we get.

⇒ 2x - 3(0) = - 4.

⇒ 2x = - 4.

⇒ x = - 2.

Their Co-ordinates = (-2,0).

Both curves intersect at a point = (1,2).

Answer 2

Question:-

• Solve the following system of linear equations graphically and shade the triangular region formed by the line with y-axis , x + 2y = 5 and 2x - 3y = - 4.

To Find:-

• Find the value of x and y.

Solution:-

• x + 2y = 5 . . . . ( 1 )

• 2x - 3y = - 4 . . . . ( 2 )

First ,

We have to eliminate a value:-

$\dashrightarrow\sf \: 2( x + 2y ) - ( 2x - 3y ) = 2( 5 ) - ( - 4 )$

$\dashrightarrow\sf \: 2x + 4y - 2x + 3y = 10 + 4$

$\dashrightarrow\sf \: 7y = 14$

$\dashrightarrow\sf \: y = \dfrac { 14 } { 7 }$

$\dashrightarrow\sf \: y = 2$

Now ,

We have to substitute y value in equation ( 1 ):-

$\dashrightarrow\sf \: x + 2( 2 ) = 5$

$\dashrightarrow\sf \: x + 2( 2 ) = 5$

$\dashrightarrow\sf \: x + 4 = 5$

$\dashrightarrow\sf \: x = 5 - 4$

$\dashrightarrow\sf \: x = 1$

Hence ,

• Both curves intersect at ( 1 , 2 ).