The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 interse

1.	The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(∝, β). What is the value of (2 ∝ - β)?1. 52. 63. 34. 4
Answer» Correct Answer - Option 1 : 5 Given: Equation (1) = 3x - 2y = 8 Equation (2) = 4x + 3y = 5 Intersect point = P(∝, β) Concept used: We will solve the linera equations. The value of x and y will be the cordinates of intersenct point P. Calculations: ⇒ 3x - 2y = 8 ------(1) ⇒ 4x + 3y = 5 ------(2) By solving equation (1) and (2) ⇒ x = 2, y = -1 ⇒ ∝ = 2, β = -1 ⇒ (2 ∝ - β) ⇒ (2 × 2 + 1) ⇒ 5 ∴ The value of (2 ∝ - β) is 5.

The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(∝, β). What is the value of (2 ∝ - β)?1. 52. 63. 34. 4

Answer» Correct Answer - Option 1 : 5

Given:

Equation (1) = 3x - 2y = 8

Equation (2) = 4x + 3y = 5

Intersect point = P(∝, β)

Concept used:

We will solve the linera equations. The value of x and y will be the cordinates of intersenct point P.

Calculations:

⇒ 3x - 2y = 8 ------(1)

⇒ 4x + 3y = 5 ------(2)

By solving equation (1) and (2)

⇒ x = 2, y = -1

⇒ ∝ = 2, β = -1

⇒ (2 ∝ - β)

⇒ (2 × 2 + 1)

⇒ 5

∴ The value of (2 ∝ - β) is 5.