Question

solve 5x+4y-4=0,x-12y-20=0​

Answer 1

x = 2 y = - $\frac{3}{2}$ or, - 1.5

Step-by-step explanation:

The given equations are:

5x + 4y - 4 = 0                     ......... (1)

and x - 12y - 20 = 0​             ......... (2)

To find, the values of x and y = ?

Multiplying equation (1) by 3, we get

3(5x + 4y - 4) = 0  

15x + 12y - 12 = 0                     ......... (3)

Adding equations (2) and (3), we get

x - 12y - 20 + 15x + 12y - 12 = 0​  

⇒ 16x = 32

⇒ x = 2

Put x = 2 in equation (1), we get

5(2) + 4y - 4 = 0      

⇒ 10 + 4y - 4 = 0

⇒ 4y + 6 = 0

⇒ 4y = - 6

⇒ y = - $\frac{3}{2}$ or, - 1.5

∴ x = 2 y = - $\frac{3}{2}$ or, - 1.5