Question

x+y=7,2x-3y=9, find by substitution method​

Answer 1

$\huge\bold{ANSWER}$

x+y=7 ----- (1)

2x−3y=9 ----- (2)

From equation (1)

y=7−x ------ (3)

Assume the value of x=5,6 and put those

values in equation (3)

If x=5,y=75=2

If x=6,y=7−6=1

On the above basis, the following points are:

X 5 6

Y 2 1

Now plotting (5, 2), (6, 1) and joining them, we get a straight line.

From equation ----(2),

2x−3y=9

y= $\frac{2x−9}{3}$- ---- ------ (4)

Assume the value of x=0,6 and put those values in equation (3)

If x = 0, y =$\frac{2x-9}{3}$ = $\frac{2(0)-9}{3}$=$\frac{-9}{3}$ = - 3

If x=6,y=$\frac{2(6)-9}{3}$

=$\frac{12-9}{3}$

=$\frac{3}{3}$

=$\red{1}$

Now table the following points:

X 0 6

Y -3 1

Plotting (0, -3), (6, 1) and joining them, we get another straight line.

These lines intersect at the point (6, 1) and therefore the solution of the equation is x=6,y=1 (see fig.)

Hope it helps ☺️☺️☺️

Answer 2

Step-by-step explanation:

above one is correct answer