Question

5 A car travelled at a speed of (2x-3y) km/h for (5y-x) hours.
Express the distance travelled by the car in terms of x and y. Expand and simplify your answer.

Answer 1

Step-by-step explanation:

Given:

2x + 3y = 12 ----(i)

4x – 5y = 2 ----(ii)

Calculations:

Multiplying (i) by 2,

⇒ 4x + 6y = 24 ----(iii)

Subtracting (ii) from (iii),

⇒ 6y – (-5y) = 22

⇒ 6y + 5y = 22

⇒ 11y = 22

⇒ y = 2

Substituting the value of y in (i),

⇒ 2x + (3 × 2) = 12

⇒ 2x + 6 = 12

⇒ 2x = 6

⇒ x = 3

∴ The value of x and y are 3 and 2 respectively.