Question

aolve graphically 2x-y=2 and 5x-2y=23​

Answer 1

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

GRAPHICAL REPRESENTATION

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.

➞2x-y=2--------(1)

➞5x-2y=23-----(2)

Taking first Equation

2x-y=2

➞y= 2-2x

At x =0

➞y= 2

At x= 1

➞y= 0

We obtained the coordinates (0,2)&(1,0) of 2x-y=2

Now,plot the coordinates into graph.

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second Equation

5x-2y=23

y= 5x-23÷ 2

At x=0

➞y= -23/2

At x= 1

➞y= -18/2= -9

Plot the coordinates (0,-23/2)&(1,-9) into graph.

After plotting the coordinates of both the Equation we obtained a straight line graph which intersect at the points(3,-4)

Hence,the solution for the given pair of linear equations is x = 3 & y= -4.

check:

➞5x-2y=23

➞5(3)-2(-4)

➞15+8

=23

Answer 2

GRAPHICAL REPRESENTATION

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.

➞2x-y=2--------(1)

➞5x-2y=23-----(2)

Taking first Equation

2x-y=2

➞y= 2-2x

At x =0

➞y= 2

At x= 1

➞y= 0

We obtained the coordinates (0,2)&(1,0) of 2x-y=2

Now,plot the coordinates into graph.

second Equation

5x-2y=23

y= 5x-23÷ 2

At x=0

➞y= -23/2

At x= 1

➞y= -18/2= -9

Plot the coordinates (0,-23/2)&(1,-9) into graph.

After plotting the coordinates of both the Equation we obtained a straight line graph which intersect at the points(3,-4)

Hence,the solution for the given pair of linear equations is x = 3 & y= -4.

check:

➞5x-2y=23

➞5(3)-2(-4)

➞15+8

=23