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Given: Let = a and = b. So, the equations are Multiplying the complete equation with 6, ⇒ 3a + 10b = - 9 ..........................(1) Multiplying the complete equation with 60, ⇒ 75a - 36b = 61 ..........................(2) Multiplying 25 in equation (1), we get ⇒ (3a + 10b = -9) x 25 ⇒ 75a + 250b = -225 ...................(3) Subtracting equation (3) and (2), we get: ⇒ b = -1 Putting the value of b in equation (2), we get ⇒ 75a - 36 x (-1) = 61 ⇒ 75a + 36 = 61 ⇒ 75a = 61 - 36 ⇒ 75a = 25 ⇒ a = So, = a = and = b = -1 ⇒ x + 2y = 3 and 3x - 2y = -1 Adding both equation, we get: ⇒ x = And putting the value of x in equation x + 2y = 3 ⇒ + 2y = 3 ⇒ 2y = 3 - ⇒ 2y = ⇒ y = Hence, x = and y = .

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Linear Equations

Related Questions

Solve :
0.04x + 0.02y = 5
and 0.5(x - 2) - 0.4y = 29

The expression ax + by has value 7 when x = 2 and y = 1. It has value 1 when x = -1 and y = 1. Find a and b.

Some money is to be distributed equally among children of a locality. If there are 8 children less, every one will get ₹ 10 more and if there are 16 children more, every one will get ₹ 10 less. What is the total amount of money to be distributed ?

Mathematics

Solve :

Linear Equations

Related Questions

Solve :0.04x + 0.02y = 5and 0.5(x - 2) - 0.4y = 29

The expression ax + by has value 7 when x = 2 and y = 1. It has value 1 when x = -1 and y = 1. Find a and b.

Some money is to be distributed equally among children of a locality. If there are 8 children less, every one will get ₹ 10 more and if there are 16 children more, every one will get ₹ 10 less. What is the total amount of money to be distributed ?

Solve :
0.04x + 0.02y = 5
and 0.5(x - 2) - 0.4y = 29