Question

Find the values of x and y. 3x - 5 5y - 4 y + 12 X = y=

Answer 1

Answer:

x = 7

y = 4

Step-by-step explanation:

3x - 5 = 5y - 4 (sides of an equilateral ∆)

3x - 5y = 5 - 4

3x - 5y = 1 ----› Eqn. 1

3x - 5 = y + 12 (sides of an isosceles ∆)

3x - y = 5 + 12

3x - y = 17 ---› Eqn. 2.

Subtract eqn 2 from eqn 1.

3x - 5y = 1 ----› Eqn. 1

3x - y = 17 ---› Eqn. 2.

-4y = -16

Divide both sides by -4

y = 4

Substitute y = 4 into eqn. 2

3x - y = 17 ---› Eqn. 2.

3x - 4 = 17

3x = 17 + 4

3x = 21

Divide both sides by 3

x = 7