Question

the point of intersection of the equations 2x+3y=8, 4x-y=2 is​

Answer 1

Answer:

(1,2)

Step-by-step explanation:

2x+3y=8 --- (1)

4x-y=2 ----- (2)

Multiply equation (1) by 2,

[2x+3y=8]×2 = [4x+6y=16] ---- (3)

Subtracting equation (2) from equation (3), you will get :

4x+6y - (4x-y) = 16 - 2

4x + 6y - 4x + y = 14

7y = 14

y = 2

Now put value of 'y' in equation (2),

4x-(2) = 2

4x=4

x=1

So, the point of intersection of both the equations is (x,y) = (1,2)

Answer 2

Answer:

At first you need graph paper to draw line and after that for intersecting.

Step-by-step explanation:

so, I will only solve you equation and you try to plot on graph paper..

ok n..

$2x + 3y = 8 \\ 4x - y = 2$

take the 1st equation..

2x +3y =8

2x = 8 - 3y

x =

$\frac{8 - 3y}{2}$

---------------------- (iii) equation

so,

put the value of (iii) equation on (ii) equation...

4x - y =2

4( 8-3y/2) - y =2

16 - 6y - y =2

16 -7y =2

-7y = 2-16

-7y =-14

y = 2

on equation 3rd

$x = \frac{8 - 3y}{2}$

x =

$\frac{8 - 3(2)}{2}$

x = 4 - 6

x = -2

so,.

x = -2

& y = 2