Question

represent the following in graphical
2x-y-7=0
3x+2y-4=0

Answer 1

Answer:

3x + 2y = 4 ⇒2y = (4 – 3x) ⇒y = (4-3x)/2 …(i) Putting x = 0, we get y = 2 Putting x = 2, we get y = -1 Putting x = -2, we get y = 5 Thus, we have the following table for the equation 3x + 2y = 4 Now, plot the points A(0, 2), B(2, -1) and C(-2, 5) on the graph paper. Join AB and AC to get the graph line BC. Extend it on both ways. Thus, BC is the graph of 3x + 2y = 4. Graph of 2x - 3y = 7 2x – 3y = 7 ⇒ 3y = (2x – 7) ⇒ y = (2x-7)/3 …(ii) Putting x = 2, we get y = -1 Putting x = -1, we get y = -3 Putting x = 5, we get y = 1 Thus, we have the following table for the equation 2x – 3y = 7. Now, plot the points P(-1, -3) and Q(5, 1). The point C(2, -1) has already been plotted. Join PB and QB and extend it on both ways. Thus, line PQ is the graph of 2x – 3y = 7. The two graph lines intersect at B(2, -1). ∴x = 2 and y = -1 are the solutions of the given system of equations.Read more on Sarthaks.com - https://www.sarthaks.com/129747/solve-the-system-of-equations-graphically-3x-2y-4-2x-3y-7

Answer 2

Step-by-step explanation:

Given :-

2x-y-7=0

3x+2y-4=0

To find :-

Represent the following in graphical ?

Solution :-

Given pair of linear equations in two variables

are 2x-y-7 = 0

On comparing with a1x+b1y+c1 = 0

a1 = 2

b1 = -1

c1 = -7

and

3x+2y-4 = 0

On comparing with a2x+b2 y+c2 = 0

a2 = 3

b2 = 2

c2 = -4

Now,

a1/a2 = 2/3

b1/b2 = -1/2

c1/c2 = -7/-4 = 7/4

We have

a1/a2 ≠ b1/b2 ≠ c1/c2

So Given lines are Consistent and dependent or Intersecting lines with a unique solution.

Scale :-

On x- axis 1 cm = 2 units

On y-axis 1 cm = 2 units

Graph :-

The graphs of the two lines are straight lines

They are interesecting at (10,-13)

Answer:-

The solution for the paie of linear equations in two variables is (10,-13)