She observed the following peculiarities about the book:
i) The pages of the book appeared yellow and crinkly.
ii) The words remained stationary instead of moving.
iii) When they reverted to the previous page, it retained the exact words from their initial reading.
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:
(i) 2x + 3y = 9.35
(ii) x – \(\frac{y}{5}\)– 10 = 0
(iii) –2x + 3y = 6
(iv) x = 3y
(v) 2x = –5y
(vi) 3x + 2 = 0
(vii) y – 2 = 0
Which one of the following options is true, and why? y = 3x + 5 has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions
The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
(Take the cost of a notebook to be ` x and that of a pen to be ` y).