Question

The coordinates of points in the table represent some of the solutions of the equation x - y+2=0.State whether the given statement is true or false. Justify.​

Answer 1

AnswEr:-

Your Answer is False.

ExplanaTion:-

Given equation:-

=》 x - y + 2 = 0.

• Values of x and y are given in the table.

To Verify:-

• The the given statement is true or false.

So lets check by putting the value of x and y in each case:-

▪︎ Case 1:-

Where,

• Value of x = 0.
• Value of y = 2.

So by putting the value of x and y in the given equation we get,

=》 x - y + 2 = 0.

=》 0 - 2 + 2 = 0.

=》 -2 + 2 = 0.

=》 0 = 0.

So RHS = LHS.

Therefore it is correct.

▪︎ Case 2:-

Where,

• Value of x = 1.
• Value of y = 3.

So by putting the value of x and y in the given equation we get,

=》 x - y + 2 = 0.

=》 1 - 3 + 2 = 0.

=》 -2 + 2 = 0.

=》 0 = 0.

So LHS = RHS.

Therefore it is true.

Case 3:-

Where,

• Value of x = 2.
• Value of y = 4.

So by putting the value of x and y in the given equation we get,

=》 x - y + 2 = 0.

=》 2 - 4 + 2 = 0.

=》 -2 + 2 = 0.

=》 0 = 0.

So LHS = RHS.

Therefore it is true.

Case 4:-

Where,

• Value of x = 3.
• Value of y = -5.

So by putting the value of x and y in the given equation we get,

=》 x - y + 2 = 0.

=》 3 - (-5) + 2 = 0.

=》 3 + 5 - 2 = 0.

=》 8 - 2 = 0.

=》 6 = 0.

So here LHS is not equal to RHS.

Therefore it is false.

Hence we can conclude that the given statement is False.