Question

(1) Are the graphs of both the equations different or same?
(2) What are the solutions of the two equations x + 2y = 4 and 3x
How many solutions are possible ?
• (3) What are the relations between coefficients of x, coefficien
constant terms in both the equations ?
(4) What conclusion can you draw when two equations are gi
graph is only one line ?​

Answer 1

Answer:

no .all the graph is not same

x+2y=4 and 3x then x+2y +3x =4 then 4x+2y=4 , x=2y=4 - 4 then x=2y

Answer 2

Answer:

i. The graphs of both the equations are same.

ii. The solutions of the given equations are (-2, 3), (0, 2), (1, 1.5), etc.

∴ Infinite solutions are possible.

iii. Ratio of coefficients of x = 1/3

Ratio of coefficients of y = 2/6 = 1/3

Ratio of constant terms = 4/12 = 1/3

∴ Ratios of coefficients of x = ratio of coefficients of y = ratio of the constant terms

iv. When two equations are given but the graph is only one line, the equations will have infinite solutions.

Step-by-step explanation:

Hope it will help you..