Question

2X+Y=4 and 2x-3y=12 using graphical methods solve the linear equation​

Answer 1

Answer:

2x +y =4

2x-3y=120=mykepad not working

Answer 2

The value of x co-ordinate is $\dfrac{5}{4}$

The value of y co-ordinate is $\dfrac{3}{2}$

Step-by-step explanation:

Given as :

The two linear equation are

 2 x + y = 4                      ..............1

  2 x - 3 y = 12                 ................2

Solving this linear equations

Now, Subtracting eq 2 from eq 1

( 2 x + y ) - ( 2 x - 3 y)  = 12 - 4

Or,  ( 2 x - 2 x ) + ( y + 3 y ) = 6

Or,  ( 0 ) + ( 4 y ) = 6

Or,              4 y = 6

∴                  y = $\dfrac{6}{4}$

i.e                 y = $\dfrac{3}{2}$

So, The value of  y = $\dfrac{3}{2}$

Put the value of y into eq 1

∵      2 x + y = 4

So,   2 x + $\dfrac{3}{2}$ = 4

Or,  2 x = 4 - $\dfrac{3}{2}$

Or,   2 x = $\dfrac{8-3}{2}$

Or,    2 x = $\dfrac{5}{2}$

Or,       x = $\dfrac{5}{4}$

So, The value of  x = $\dfrac{5}{4}$

The value of x co-ordinate = $\dfrac{5}{4}$  and The value of y co-ordinate =$\dfrac{3}{2}$

The x and y point is plotted on the graph X-Y axis

Hence, The value of x co-ordinate is $\dfrac{5}{4}$  and The value of y co-ordinate is $\dfrac{3}{2}$ Answer