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Q) Solve the following system of linear equations : 7 x – 2 y = 5 and 8 x + 7 y = 15 and verify your answer. Ans: Given equations are: 7 x – 2 y = 5 …………………… (i) 8 x + 7 y = 15 …………………..(ii) To get the value of variables, […]
pair of linear equations
Q) Solve the following system of linear equations : 2p + 3q = 13 and 5p – 4q = – 2 Ans: Given equations are: 2p + 3q = 13 …… ………….. (i) and 5p – 4q = – 2 …………… (ii) To get the value of variables, we need to drop one variable. Let’s
Solve the following system of linear equations : 2p + 3q = 13 Read More »
Q) In a chemistry lab, there is some quantity of 50% acid solution and some quantity of 25% acid solution. How much of each should be mixed to make 10 litres of 40% acid solution? Ans: Let consider quantity of 50% acid solution be V litres ∵ total quantity of final solution is 10 litres ∴
Q) The monthly incomes of A and B are in the ratio 8 : 7 and their expenditures are in the ratio 19 : 16. If each saves 2500 per month, find the monthly income of each. Ans:Â Let the income of A and B be 8 X and 7 X Since Saving = Income
Q) Solve the following pair of linear equations: Ans: Given the equations: ……….. (i) ………….(ii) Step 1: Let’s multiply equation (i) by b2 and add to equation (ii), we get: ……….. (i) ∴ ……….. (i) ∴ ……….. (i) ∴ b2 x + a2 x = a ( a2 + b2 ) ∴ x (a2 + b2
Solve the following pair of linear equations: x/a – y/b =0, a x + b y = a2 + b2 Read More »
Q) Solve the following pair of linear equations: (a – b) x + (a + b) y = a2 – 2 a b – b2 (a + b) (x + y) = a2Â + b2 Ans:Â Given the equations: (a – b) x + (a + b) y = a2 – 2 a b – b2……
Q) Solve the following pair of linear equations: 152x – 378y = – 74 – 378 x + 152y = – 604 Ans:Â Given the equations: Solve the following pair of linear equations: 152 x – 378 y = – 74 ….. (i) – 378 x + 152 y = – 604 ….. (ii) We
Solve the following pair of linear equations: 152x – 378y = -74, -378 x + 152y = -604 Read More »
Q) Solve the following pair of linear equations: ax + by = c bx + ay = 1 + c Ans: Given the equations: a x + b y = c ….. (i) b x + a y = 1 + c ….. (ii) Let’s multiply equation (i) with a and equation (ii) with b and we get:
Solve the following pair of linear equations: ax + by = c, bx + ay = 1 + c Read More »
Q) Solve the following pair of linear equations: px + qy = p – q qx – py = p + q Ans:Â Given the equations: Solve the following pair of linear equations: px + qy = p – q …………. (i) qx – py = p + q ………….. (ii) Let’s multiply equation (i)
Solve the following pair of linear equations: px + qy = p – q, qx – py = p + q Read More »
Q) Find two consecutive odd positive integers, the sum of whose squares is by using the quadratic formula. Ans: Let’s consider the 1st odd positive integer be XThen the next consecutive odd positive integers will be X + 2 Now it is given, that the sum of the squares of these two numbers is 290∴ X2