Question

Solve graphically 2x + 3y = 4. x - y = 7

Answer 1

Step-by-step explanation:

So we have, 2x+3y=4 and x-y+3=0

Now 2x+3y=4

= x= 4−3y2

When y=0 then, x=2

When y=2 then, x=-1

Thus, we have the following table giving points on the line x+y=4

X -1 2

Y 2 0

Now ,    x-y+3=0

=x=y-3

When y=3, then x=0

When y=4, then x= 1

Thus, we have the following table giving points on the line x-y+3=0

X 0 1

Y 3 4

Graph of the equation 2x+3y=4 and x-y+3=0

8

Clearly two lines intersect at (-1, 2)

Hence x=-1 and y=2 is the solution of the given system of equations.