Question

3x+2y=12, 5x-2y=4 solve graphically

Answer 1

Answer :

Here, the equations are

3x + 2y = 12 ...(i)

5x - 2y = 4 ...(ii)

Here, (i) can be written as

x/4 + y/6 = 1

So, (i) intersects x axis at the point (4, 0) and y axis at the point (0, 6).

From (ii), we get

x/(4/5) + y/(- 2) = 1

So, (ii) intersects x axis at the point (4/5, 0) and y axis at the point (0, -2).

Now, we draw lines using the points (4, 0), (0, 6) and (4/5, 0) and (0, -2).

(Refer to the attachment for the graph.)

After drawing the two lines, we will get to see the lines intersecting at the point (2, 3).

Therefore, solving graphically, we conclude that the required solution be

x = 2 and y = 3.

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Answer 2

3x-2y=12......1

5x-2y=4.......2

_____________________...add  

3x-2y+5x+2y=12+4  

3x-2y+5x2y=16  

3x+5x=16  

8x=16  

x=16/8  

x=2  

now find y  

5x+2y=4......2...plug in x  

5*2+2y=4  

10+2y=4  

2y=4-10  

2y=-6  

y=-6/2  

y=-3