# Solve the following system of linear equation graphically 2x + 3y - 12 =0 , 4x+6y-35 =0 . ( also tell solutions / explain step by step)

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**Answer:**

Given,

x + y = 3……. (i)

2x + 5y = 12……. (ii)

For equation (i),

When y = 0, we have x =3

When x= 0, we have y =3

Thus we have the following table giving points on the line x + y = 3

x 0 3

y 3 0

For equation (ii),

We solve for y:

⇒ y = (12 – 2x)/5

So, when x = 1

y = (12 – 2(1))/5 = 2

And, when x = 6

⇒ y = (12 – 2(6))/5 = 0

Thus we have the following table giving points on the line 2x + 5y = 12

x 1 6

y 2 0

Graph of the equations (i) and (ii) is as below:

**Step-by-step explanation:**

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