Question

Please solve all please.....

I want all Solution.

Content Quality Solution Required.

Please it's a Request No Spamming.

Answer 1

Q : 1 Solve Graphically :
5x - 6y +30=0
5x+4y-20=0
Also, find the vertices of the triangle formed by the above two-lines and x-axis :

Ans:1.
By using Elimination Method,

5x -6y+30=0. -----(1)
5x+4y-20=0 ----------(2)

Subtract eq: 1 from 2, we get
10y = 50
=> y = 5
Then, X =0

Now,
x-axis: In eq: (1) y = 0 , X = -6
x-axis : In eq: (2) y=0 , x= 4

See Graph,

Q: 2 Determine Graphically the vertices of the triangle formed by the lines represented by the equations .
y= x
y= 2x
x+y= 6

Ans:2
Solving :
y = x and y = 2x
we get (x, y) = (0,0)

y= x and x+y = 6 ,
we get (3,3)

y=2x and x+ y = 6
we get (2,4)

See graph
Q : 3Determine graphically whether the system of equations x - 2y = 2

4x - 2y = 5 is consistent or not,

Ans:
For consistency, system of equations have at least one solution .
Here,
1/4 != -2/-2
Therefore, given system is consistent.

Q :4 Show graphically the system of equations
x-2y +11 =0
3x-6y +33 =0
has infinitey many solutions.
Ans:4
Both lines reprsent same lines as :
$\frac{1}{3} = \frac{ - 2}{ - 6} = \frac{11}{33}$

Q : 5
Ans: 5

3x - 2y = 6
3x+ y = 15
Y= 0
Solve these we get,
(4,3) (2,0)(5,0)