If x[(2)(1)]+y[(3)(5)]+[(-8)(-11)]= 0, then the value of (2x – 3y)is: 1. 1 2. -4 3. 3 4. -3

Question

KnowledgeBoat · Accepted Answer

∴ 2x + 3y - 8 = 0 ⇒ 2x + 3y = 8 ....(1) ∴ x + 5y - 11 = 0 ⇒ x = 11 - 5y ....(2) Substituting value of x from equation (2) in (1), we get : ⇒ 2(11 - 5y) + 3y = 8 ⇒ 22 - 10y + 3y = 8 ⇒ -7y = 8 - 22 ⇒ -7y = -14 ⇒ y = ⇒ y = 2. Substituting value of y in equation (2) we get: ⇒ x = 11 - 5(2) ⇒ x = 11 - 10 ⇒ x = 1. ∴ 2x - 3y = 2(1) - 3(2) = 2 - 6 = -4. Hence, option 2 is the correct option.

Mathematics

If x[(2)(1)]+y[(3)(5)]+[(-8)(-11)]= 0, then the value of (2x – 3y)is: 1. 1 2. -4 3. 3 4. -3

Matrices

Related Questions

The product AB of two matrices A and B is possible if:
A and B have the same number of rows.
The number of columns of A is equal to the number of rows of B.
The number of rows of A is equal to the number of columns of B.
A and B have the same number of columns.

Mathematics

If x[(2)(1)]+y[(3)(5)]+[(-8)(-11)]= 0, then the value of (2x – 3y)is: 1. 1 2. -4 3. 3 4. -3

Matrices

Related Questions

The product AB of two matrices A and B is possible if:A and B have the same number of rows.The number of columns of A is equal to the number of rows of B.The number of rows of A is equal to the number of columns of B.A and B have the same number of columns.

The product AB of two matrices A and B is possible if:
A and B have the same number of rows.
The number of columns of A is equal to the number of rows of B.
The number of rows of A is equal to the number of columns of B.
A and B have the same number of columns.