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If x = 2k + 1 and y = k − 1 is a solution of the equation 2x − 3y + 5 = 0, find the value of k.
Write two solutions of the equation: −4x + 3y = 12.
For what value of c, the linear equation cx + 3y = 24 has equal values of x & y for its solution.
Our excessive dependence on motorized road transport imposes significant economic costs on society. These include congestion, road casualties, physical inactivity and ill health caused by it. Cycling could substantially reduce these risks, while strengthening local economies in both urban and rural areas, supporting local businesses and boosting the economic productivity. A bicycle is being lent at fixed charges for the first three days of week and an additional charge of each day thereafter. If fixed charges are ₹x and per day charges are ₹y, then based on the above information, answer the following questions:
Write linear equation 3x + 2y = 18 in the form of ax + by + c = 0. Also write the values of a, b and c. Are (4,3) and (1,2) solution of this equation?
Express y in terms of x in the equation 5x – 2y = 7.
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