Question

Solve the following systems of equations graphically:
x + y = 4
2x – 3y = 3

Answer 1

Concept :

To draw the graph of a linear equation in two variable a series of steps to be followed which is given below:

• Step I:Obtain the linear equation.  Let the equation be  ax + by + c = 0
• Step II: Express one unknown quantity in terms of other here. Express y in terms of x to get y = - (ax + c /b)
• Step III: For any two values of x, calculate the corresponding values of y  from the expression in step II to obtain two solutions say (x1, y1 and( x2 ,y2)
• Step IV: plot the points  (x1, y1 and( x2 ,y2)  on graph paper on a suitable scale.
• Step V:Draw a  line passing through points marked in step IV. The line so obtained is the graph of the equation  ax + by + c = 0  

 

Given:  

x + y = 4 2x – 3y = 3

Solution :

x + y = 4 passes through (4, 0) and (0, 4)

2x – 3y = 3 passes through (3, 1) and (0, -1)

Two lines intersect at a point A (3,1)

Hence x is 3 and y is 1.

Table and the Graph of the given  systems of equations are  in the  attachment below :  

Hope this answer will help you…

Some more questions from this chapter :  

Solve the following systems of equations graphically:

x + y = 3

2x + 5y = 12

brainly.in/question/15918168

Solve the following systems of equations graphically:

x – 2y = 6

3x – 6y = 0

https://brainly.in/question/15918172

 

Answer 2

$\huge\mathcal{Answer:}$

First eq:-

$x + y = 4$

$x = 4 - y$

When y=o

$x = 4$

When y=2

$x = 2$

Second eq:-

$2x - 3y = 3$

$2x = 3y + 3$

$x = \frac{3y + 3}{2}$

when y=1

$x = 3$

when y=-1

$x = 0$

_________________________

$x \: \: \: \: 3 \: \: \: \: 0$

$y \: \: \: \: 1 \: \: \: \: - 1$