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 = 12
(ii) x – y/2 – 5 = 0
(iii) 2x + 3y = 9.35
(iv) 3x = -7y
(v) 2x + 3 = 0
(vi) y – 5 = 0
(vii) 4 = 3x
(viii) y = x/2
The cost of ball pen is Rs 5 less than half of the cost of fountain pen. Write this statement as a linear equation in two variables
If x = -1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k.
If x = 2 α + 1 and y = α -1 is a solution of the equation 2x – 3y + 5 = 0, find the value of α.
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y. Write the linear equation representing the above information.
A number is 27 more than the number obtained by reversing its digits. lf its unit’s and ten’s digit are x and y respectively, write the linear equation representing the statement.
The Sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten’s digit of the number are x and y respectively, then write the linear equation representing the above statement.
From the choices given below, choose the equations whose graph is given in figure. (i) y = x
(ii) x + y = 0
(iii) y = 2x
(iv) 2 + 3y = 7x
If the point (2, -2) lies on the graph of linear equation, 5x + ky = 4, find the value of k.
Give the geometric representations of the following equations (a) on the number line
(b) on the Cartesian plane: (i) x = 2
(ii) y + 3 = 0
(iii) y = 3
(iv) 2x + 9 = 0
(v) 3x – 5 = 0
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