Question

5x-y=5;3x-y=3 ,find the graph for given equation?​

Answer 1

$\sf\huge \mathbb{\underline{\underline{{Solution}}}}$

We have given two pair of linear equations and we have to find the value of x and y through graph.

For that firstly convert the Equation either in the form of x or y and then plot points into and obtained the coordinate . Put the coordinate into graph of both the Equation and we obtained a interesting point with the help of coordinate of both the Equation which will be our final solution.

➙5x-y=5-------(1)

➙3x-y=3--------(2)

solving equation (1)

-y= 5-5x

y= 5x-5

At x = 1

➙y= 0

At x= 0

➙y= -5

Now,we obtained the coordinates (1,0)&(0,-5)

put these coordinates into the graph.

Solving second Equation

-y= 3-3x

y= 3x-3

At x= 1

➙y= 0

At x= 0

➙y= -3

Now, put these coordinates into the graph.

After plotting the coordinates of both the Equation we obtained a straight line graph which intersect at the points (1,0).

Hence,the solution for the given pair of linear equations is x= 1 & y= 0.

Check:

➙5x-y=5

➙5(1)-0

➙5-0

=5

LHS = RHS(Verified).